/sci/ - Science & Math

>>5990230

it costs sage

bout tree fiddy

$2. If the price is $2, half its* price is $1. 1+1=2.

sage

>>5990230
1 + T/2 = T

>>5990230
nothing because I pirate all my games.

You never give the price of the game though.

>>5990230
An indefinite amount.
But it's 60 dollars based on precedent.

>>5990239
This.

>>5990230

You can also read it recursively and get the same answer:

1 + 1/2(1+1/2(1+1/2(...

and that sum comes out to 2 as well, bro.

>>5990230
$2.01

$2.01/2+$1=$2.01

>>5990424
No it does not. You are inaccurate by half a cent.

1+(1/2(1))+(1/2(1/2))+(1/2(1/2)(1/2))+(1/2(1/2)(1/2)(1/2))+(1/2(1/2)(1/2)(1/2)(1/2))+ etc

I think the key here is that he wrote 'it's'. So it's actually, "A game costs $1 plus half it is price."

$1.50

>>5990475

Confirmed

it's $2 retards

if it costs half of the price + $1 that means $1 is half of the price

>>5990230
P=P/2 + 1
<=>
P-P/2=1
<=> P/2 = 1
<=> P = 2

/thread

So let me get this right. These types of question are aimed to make kids who were spoonfed algebra as a child feel special.

x=1+1/2x
rearranged to
1/2x=1
x=2

Any normal middle class, non autistic person would answer $1.50 because the question's grammar is awful.

Instead try:

The price of a game is equal to half its price plus $1. Let x be the price and rearrange to solve x.

But we all know /sci/ aren't normal enough to actually explain things.

Also, ancient mathpasta is stale.

Its a paradox.

When the cost changes, half of it changes too, ... ad infinitum

>>5990475
No. "A game costs $1 plus half it is price." means that the game costs $1. Half of the game is price, whatever that means. The second part of the sentence is irrelevant.

The answer is $1.

Why are people having trouble with this? It blatantly states "A games costs $1 plus half it's price."

>Game_Value=100
>Half_Game_Value=$(($Game_Value/2))
>echo "$(($Game_Value+$Half_Game_Value))"

150 cents or $1.50, this shit aint complicated people

>>5991741
>Its a paradox.

No it's not. It's pre-algebra.

>When the cost changes,

The cost does not change.

>>5991764
>>Its a paradox.
>No it's not. It's pre-algebra.
The game's price references itself. It's a paradox

>The cost does not change.
at first the game costs $1
but half of $1 is $0.5 so the game costs $1.5
half of $1.5 is $0.75 -> the game costs $1.75
half of $1.75 is $0.875 -> the game costs $1.875

this goes on infinitely

>>5991773

Or you could just take it to the limit and say 'it costs $2'.

Oh wow, it's the fucking answer.

C = 1 + P/2

Cost and price are not the same thing. Too many variables to solve the equation, infinitely many answers.

>>5991773
x = 1 + 1/2x
no paradox here

>>5990230
My A Game costs nothing bitch.

>>5991778
What if the limit does not exist?

$1 -> $0 -> $1 -> $0 -> $1 -> ....

>>5991778
$1 -> $3 -> $7 -> $15 -> $31 ->...
does the game costs infinity dollars in this case??

(1+1/2) + 1/2(1+1/2) + 1/2(1/2(1+1/2)) + ... = INFINITY

>>5991783

1 - 1 - 0 - 0 - ... = ZERO

>>5991790
it 's actually 1 - (1 - ( 1 - (1 - ( 1 - ( .... )))))

>>5991783

If X is the price of the game, then x satisfies the equation
x = 1 - x
So x must be in the set of solutions of this equation, which is {1/2}, so x must be 1/2.
If the equation had multiple solutions or no solution at all, then we wuldn't be able to determine x, but all your examples are linear equations which have exactly one solution.

>>5991787
Do you not into equations? I mean, you did go to High School, right?

x = 1 + 2x

Which solves for x = -1.

>>5991805
>implying a game with negative cost isn't a paradox

>>5991806
>equations with negative solutions, how paradoxic xD

>>5990427
>implying everyone doesn't round up prices

>>5990230
Game equals 1 dollar.
Half it's price. 1/2 = .5
Plus ) ( 1 + .5 = 1.5)

How much does it cost?
$1.50

>>5990230
It doesn't matter; I don't have any money.

>>5991822
It makes no sense. What are negative costs?

>>5991773
>The game's price references itself. It's a paradox

It references HALF it's price, retard.

"A game costs $1 plus half it's price."

symbolically:

P = 1 + P/2

P - P/2 = 1
P/2 = 1
P=2

The game costs $2.

You should have learned how to do that in sixth grade.

>>5992425
Mathematically your equation is gibberish. The P cannot be on both sides of the equation. That's a paradox. How do you think P can equal half of P?

>>5992433
>The P cannot be on both sides of the equation. That's a paradox.
That's not a paradox, that's called Algebra.

>>5990230
1.50

>>5992433

>>5992433
>How do you think P can equal half of P?
By subtracting 1 shitbrain

>>5990230
x = 1 + x/2
x/2 = 1
x = 2
$2.00

Lets get vague. I hate word problems.

This is the total payment required:
In order to own one object you must pay one dollar in addition to 50% of it's price.

It's price is the total payment required.

Defining variables:
p = Total payment required to own one object

p = 1 + ( 1 + (( 1 + ((( 1 + (((( 1 + ...

The game costs infinity dollars.

>>5992464

Kill yourself.

>>5992467
>thinks a solution is incorrect
>doesn't offer their own solution and instead tells person to an hero
you see very intelligent and im so very intimidated by you

>>5990230
>A game costs $1 plus half it's price.
>plus half it's price
>Half it's price
>it's

It costs $1 first, plus half its price.
So now its price is $1.50.
Half its price would be $0.75 now. Add that and you get $2.25, which is now the price.
Half of that is $1.125, adding that will give you a total price of $3.375.

The sum approaches infinity and not $2.

>>5992475

Try the post immediately before yours, dumbass.

>>5992484
>It costs $1 first,

No it doesn't.

>>5992490
>A game costs $1 plus half its price
So it costs $1 dollar, and then you add half its price.

a game costs 100 cents plus half it's cost*

g = game's cost
g = 100 + (.5 * ((100 + ((((.5 * (((((100 ...

*price was replaced with cost to avoid confusion

there is no solution

the solution is NOT infinity

>>5992433
How did you even learn to walk?

>>5992462
>>5992491
>i'm the dumbass
>cant even properly solve the equations he pulls out of his ass
if this solution DID represent the problem (it doesn't), you would do pic related to find the value of x. i have literally no idea what your thought process could have been in order to fuck up a simple equation that badly.

>>5992519


> x/2 * 2 = 2x/2
my sides when

>>5992519
x = 1 + x/2
2x = 2 + x
x = 2

You fucked up buddy

>>5992519
x = 1 + x/2
2x = 2 + x

>>5992523
>>5992524
>>5992525
three consecutive posts in the same thread dealing with the same matter

checkmate, atheists

>>5992523
>>5992524
>>5992525
>my face when it is this easy to troll /sci/
>>5992519
gr8b8m8

1.50$

caust is one dorrah frifty.
y = 1 + x/2 is lie.

>>5991749

But we don't know what its price is.

Cost = Price

Price = P
let $1=100(cents)

100 + 1/2P = P

okay how do we solve it

>>5990230
x=2

>x=1+x/2
>x-1=x/2
>2x-2=x
>2x=x+2
>x=2

>>5992586
Divide both sides by P

$0.50

1.50

1.50

>a game costs 1$ plus half it is price

$2

>>5992433
Leave, Hippie

WHAT THE FUCK IS WRONG WITH YOU PEOPLE?

WHY IS THIS A MEME?

CAN PEOPLE REALLY NOT DO ELEMENTARY SCHOOL MATH?

FUCK

>>5993683
fuck off EK

>>5993647
>>5993597

Half of 1.50 is 0.75, dipshit.

1 + 0.75 = 1.75

>>5993712
Dear /sci/,

facepalm.jpg

Sincerely, /b/

X = 1 + ½X

X - ½X = 1 + ½X - ½X

½X = 1

½X * 2 = 1 * 2

X = 2

>>5993813
They are not the same X. One X is cost and the other is price.

C = 1 + 1/2 P

fyi this is made up of 2 statments.
x=x+x*1/2

X=1+1/2x
1/2X=1
X=2
Price of game is in fact $2.

>>5990244
>>5990723
>>5990789
>>5991779
>>5991780
>>5992425
>>5992462
>>5992524
>>5992525
>>5992591
>>5993813
>>5996364
All of these are right and they use basic algebraic mathematics to prove their point instead of calling out a random number. /sci I'm dissapointed.

Game costs $1.50 No wonder why world economy is screwed up

But games cost $59.99. This thread makes no sense.

yall are faggots

>>5996435
$59.99 + half it's price = $59.99 + $29.995 = $89.985

let's say the game costs $1

x = 1

x = 1 + 1/2 * 1 = 3/2

x = 1 + 1/2 * 3/2 = 4

x = 1 + 4/2 = 3

the series never converges

$1.50

C = $1 + P/2

Tell us the price and we can calculate the cost.

$1 + $0.5 = $1.50

It costs $1 plus half it's price. The answer is in the picture.

>>5998092
maybe you chose a bad starting point?

>>6001279
Half of that would be $0.75, which would make the total 1.75. Incorrect.

The equation is P = 1 + P/2.

>>5990230
P = 1+ P/2
P-P/2 = 1
P/2 = 1
P = 2

The game costs $2.00.

>>6002545

P-P = 0, not P

Your mom

If the game cost $2 then it would cost $1+half of $2. How would I write that into an equation so I could look like I know math?

>>6002599
x = 1 + 0.5x
0.5x = 1
x = 2

p = 1 + p/2

p-p/2 = 1

0/2 = 1

0 = 1

cannot be solved

Price is undefined.

>>6002500
This.

When I was in high school algebra I did this a couple of times and always received at least partial credit.

price =/= cost

>>6004100
Are you retarded?

>>6005277
no, he is trolling

>ITT

The government says you are all wrong, noone here is factoring in tax. You must all now factor in your areas sales tax rate. idiots.

>>6005340
Do I calculate the tax of the price or the cost?

price = 1+ 1/2Price

>>6005315
>implying the picture doesn't also apply to you
>implying the picture doesn't also apply to me
metacrisis

It costs the guy who lists game prices his job, is what it costs.

>>5999833


This is the only valid notation of the problem.

To all of you faggots that keep falling for this troll and the coin toss troll, its called ambiguity fallacy, and you are all fucking retarded shitheads for debating over this.

>>6006649
the price

To all the trolls and idiots ITT saying it costs $2

$2 + half $2 = $3

>>6010154
Wrong calculation.
It is "1 dollar plus half its price"
So $1 + $1 = $2.

>>6010158
but we don't know the price

>>6011153
yeah we do it costs
1+ half what it costs.= game
(half)+(half)=1 whole game
1=half
1+1=$2
HORISHIT

well, it costs $1, plus half of its price (which is $1), so it costs $1+0.5 = $1.5

>>6011158
>(half)+(half)=1 whole game
>1=half

half = 1/2

x(n) = $1 + 1/2 * x(n-1)

Has anyone checked for which starting values x(0) the sequence converges?

self referential statement producing a problem that is nonsensical

try english next time

/thread

>>5990230
>>A game costs $1 plus half its price
>>half it's price
>>half it is price

also it's $1 because i cannot into autism

1.0
1.5
1.75
1.875
1.9375
1.96875
1.984375
1.9921875
1.99609375
1.998046875
1.9990234375
1.99951171875
1.999755859375
1.9998779296875
1.99993896484375
1.999969482421875
1.9999847412109375
1.9999923706054688
1.9999961853027344
1.9999980926513672
1.9999990463256836
1.9999995231628418
1.999999761581421
1.9999998807907104
1.9999999403953552
1.9999999701976776
1.9999999850988388
1.9999999925494194
1.9999999962747097
1.9999999981373549
1.9999999990686774
1.9999999995343387
1.9999999997671694
1.9999999998835847
1.9999999999417923
1.9999999999708962
1.999999999985448
1.999999999992724
1.999999999996362
1.999999999998181
1.9999999999990905
1.9999999999995453
1.9999999999997726
1.9999999999998863
1.9999999999999432
1.9999999999999716
1.9999999999999858
1.999999999999993
1.9999999999999964
1.9999999999999982


eventually reaching 2.

>>6013653

A computer calculating with double-precision 64-bit IEEE 754 floating point numbers runs the calculation 54 times before reaching 2.

it is price
it is price
it is price
is it price
is it safe

>>5990311
Mein nager

>>5992417
A situation in which the person you're paying in fact owes you money.

>>5990230
That doesn't make any fucking sense.

When was the last time you paid < $2 for a game?

(I recently saw games for Windows 2000 on clearance for 50 cents. But that wasn't the list price. Would a W2K game even run on W7?)

P=1+P/2
P-P/2=1
P(1-1/2)=1
P(1/2)=1
P=2
lrn to algebra

>>6013766
>steam

Do you even reality?

>>6013671
That's a possessive apostrophe. The price that belongs to it.

>>6013684
You can mathematically model a situation where someone pays you as being negative price but that's not actually a price. A price is how much someone pays. Negatives don't exist in the real world.

The statement Price=Price cannot be disputed.
Also, the problem states that the 'cost' is 1+(P/2)
Therefore
P=(P/2)+1
P-1=P/2
P=2 dollars

>>6013806
that would only work if "it" were a name, like cousin It. the pronoun should have been used (he, she, it) in the possessive (his, hers, its)

>>5990244
1 + T/2 = T
T/2 = T + 1
T = 2T + 2
-T = 2
T = 2

>>6013895
>-T = 2
>T = 2

u wot m8?

>>6013895
Your second line is fugged m7

>>6015749
He only added T/2.

T = T/2 + 1
(T)*0 = (T/2 + 1)*0
0 = 0

QED

>>6013895
1+T/2=T
T/2=T-1
T=2(T-1)
T=2T-2
T-2T=-2
-T=-2
T=2

>>5991773
There cannot be a game that contains all games that don't contain themselves. Russell's Paradox

>>5992503
game costs 200 cents

>>5998092

Now lets say the game costs $2.

>>6011196
$1.50 is $1 plus .75? Really?

>>6013806
We don't say hi's, her's, their's, etc.

>>6013657
you guys are fucking retarded.
While it CAN be represented by
<span class="math"> x = \sum_{k = 1}^{\infnty} 1+ (1\frac 2)^k [/spoiler]
this is not really ideal.
The algebraic solution is simpler and easier.

>>6013653
this is the same answer as the algebraic method because
<span class="math"> sum_{k=1} ^{\infty} 1+ (1 \frac 2)^k [/spoiler] converges, and can be calculated by the basic formula for convergent sums.

this is science at it's finest

>>6013657
>>6013653

Pointless, considering the possibility of using simple algebra.
<span class="math"> \sum_{k = 1}^{\infty} 1+ \left( \frac{1}{2} \right) ^ k [/spoiler]
vs
<span class="math"> P = \frac{P}{2} + 1 [/spoiler]

A game costs $1 plus 0.9999999999999... it's price.
How much does it cost?

>>6018978

$ -2(i^2)

>>6013895
top kek

I have a coupon for 50% off.

>>6018943
science at it is finest?

>>6018952

... But when we combine algebra and programming we get wonders.

I get $[e^(i*л)+e^(-i*л)]*i^2. I can convert that to trig form to eliminate imaginary exponents.

>8/25
Wow this board has really died since the last time I was here. What the fuck

>>6021000
>л

That's an L.

I feel like pointing out:

In usual retail terminology, cost is what the retailer pays the supplier. Price is what the retailer charges the consumer.

1.5
2.25
3.375
5.0625
7.59375
11.390625
17.0859375
25.62890625
38.443359375
57.6650390625
86.4975585938
129.746337891
194.619506836
291.929260254
437.893890381
656.840835571
985.261253357
1477.89188004
2216.83782005
3325.25673008
4987.88509512
7481.82764268
11222.741464
16834.112196
25251.168294
37876.7524411
56815.1286616
85222.6929924
127834.039489
191751.059233

>>6022284
>"That's an L."
What the L?!

>>6022284
>"That's an L."
What the L?!

Oh, I see. The Cyrillic small el is "л" and Greek small pi is "π." I stand corrected.

>>5990230

A buck fiddy fools.

>>5990230
Python Tells me its
Game=input("Wow, another shit thread on /sci/....*sigh, I'll bite")
Gameprice=1+Gameprice/2
print("OP is a faggot and it'd be: ",Gameprice)

>>6023319
Nope, doesn't work.

>>6024432
>neon green text
so fucking edgy

>>5990230
f(x) = 1 + (.5*f(x))

it approaches 1 dollar

1.999...

>>6026207
about 1 infinite

f(x) = 1 +f(x)

A solution exists.

1+.5x

>>6026207

x= 1 + x

no solution

>>6026207
The prize would be negative.

x=1+0.5x
substracting 0.5x both sides
0.5x=1
=> x=2

captcha: made iclprva

>>5990374
yeah, nice solution.

>>5991773
>Can use elementary algebra
>(ab)Uses limits

>>6028027
Where did he use limits?

$1.50

you guys should know this

the cost approaches infinity

>>6022307
you're closest without going over

cost = 1 + price/2

cost < price (or else they wouldn't make profit)

cost > 0 and price > 0 (can't be negative)

therefore 1 < cost < 2

>>6030577
His sequence approaches infinity.

All you guys saying $2, you forgot the last step. You have to add the cost, making it $3

price=cost+markup
cost=$1+price/2
price=$1+price/2+markup
price/2=$1+markup

>>5991799
HOLD THE FUCKING PHONE, NOT SO FAST!!!!!!

in his case the series can be written as
x_i = 1 - x_(i-1) with i being the iteration step starting with x_0 = 1.

if the series converges to a final number, then there is a certain number of iterations steps whereafter all x_i's are the same. So x_i = x_(i+1) = x.

so if the series would converge you could write x = 1-x. but this series doesn't, it just alternates between 0 and 1. Of course there will be an answer if you put it that way, but it most definitely isn't the correct one. This goes with all the other cases in this thread. just check if the series converges and if it does just use your solution

Brilliantly crafted b8. Too ambiguous to solve. Stop trying.

>>5990230
Let "p" represent price.
1+ 1/2x=p
Plug in the number of a specific game into the equation and solve. sooo. If it were one dollar for a game. When you plug it in. You get a $1.50

>>6033377
What is "markup"?

Let's do this step by step.

1/2 of $1 is $0.5

$1 + $0.5 is $1.5

Therefore the game costs $1.5

>>6035847
lol its $1.50 retard not 5 cents
>>>/out/

It's not an algebraic equation, it's a logic/linguistics mind game based on the non-equivalence of "price" and "cost".

Perfect bait for /sci/.

>>6035855
you think 1.5 is different from 1.50? hahahahahahahahahaahahahahahahahah

1+(0.5)1=1.5

it's not even a trick question

that is literally what the image says

And if you ever presented this problem to a math class of any kind, the professor would tell you to clarify it.

This is like those questions that abuse the order of operations with vaguely written expressions. Just ask the question the way you fucking need it to be answered. There is no need to abuse the English language to fool people into giving obvious answers

>>6035859
>>6035922
holy shit you're retard
let x be the price of the game
then we have x=1+x/2
therefore x=2

49.99

lol ur tha retard who thinks one number is the same but isnt not me kid ahahahahahahahaha

>>6035048

markup is the difference between the dealer's cost and the price he charges you. there are at least two of us trying to explain this, but you guys are all "Hurr durr, it looks like a problem, it must have a solution."
It doesn't. This ain't your algebra class, this is the Internetz. It is full of trolls.

>>6036235
no
>>6035927
2 = 1 + 2/2

Oh my fucking god, the price of the game can be illustrated as a logarithmic line that infinitely approaches 2. sage

>>6035927
"Cost" doesn't = price. Cost in this context is only a subset of p.
Also I didn't disagree with the 2 solution, you horribly dumb cunt.

>>6036641
>implying this problem isn't one of logarithmic growth
Woah there buddy, may want to stop taking diarrhetics when you post.

>>6036438
pls explain

price = $1
tax (or however you interpret this value) = .5 * price
total cost = price + tax = $1.50
anyone who agrees with this is assuming the price is $1.
do you know what happens when you assume?

Price
: the amount of money that you pay for something or that something costs

Cost
: the amount of money that is needed to pay for or buy something

Price and Cost are synonyms.

Cost = C
Price = P
C = 1 + P/2
P = 1 + P/2

Therefore: Price has not been defined, it is a paradox.

>frequent other boards
>come to /sci/ just to check it out
>see this on first page
>must be a boring troll thread
>120+ replies
>people actually giving serious responses
>/sci/ confirmed for worst board ever

Don't bother being butthurt; I won't be around to hear you >m-muh science

Guys, this is babby number theory:
<span class="math">\exists p\in\mathbb{N}: p=1+\frac{1}{2}p[/spoiler] (Presuming the price is not negative)
<span class="math">2p=2+p[/spoiler] (Substitution Equality)
<span class="math">(1+1)p=(1+1)+p[/spoiler] (Definition of 2)
<span class="math">p+p=1+1+p[/spoiler] (Distributivity of Multiplication over Addition)
<span class="math">p=1+1[/spoiler] (Subtracting <span class="math">p[/spoiler] from both sides)
<span class="math">p+p=p+p[/spoiler] (Substitution Equality)
<span class="math">\Rightarrow 0=0[/spoiler] (Subtracting <span class="math">p+p[/spoiler] from both sides)

QED, bitches.

Obviously some of youse think this says half of a game's price is $`.... how much does it cost.

But aks yourself. Why are you answering second grade math problems?

x=1+(x/2)
2x+2=x
2=-x
x=-2 shit what

>>5991764
parabol-tool.mp3

>>6036952
>People giving serious responses
>Not understanding /sci/
Go back to /b/

The game costs $1 plus half it's price.
/read.

>>5990230
Well, does it cost one dollar, or one dollar plus one half of a dollar?

You are telling us that a game costs two different prices.....

>>6037148

Let <span class="math"> x = Cost of Game [/spoiler]
<span class="math"> x = 1 + x/2 [/spoiler]
<span class="math"> 2 * x = 1*2 + (x/2)*2 [/spoiler]
<span class="math"> 2*x = 2 + x [/spoiler]
<span class="math"> 2*x - x = 2 + x - x [/spoiler]
<span class="math"> x = 2 [/spoiler]

>>5990230
Isn't the answer any number?

I don't get what the question is asking.

>>5990230
x=1+x/2, x=2

>>6039553
The question is asking how much does it cost?

>>6040864
In what currency?

>>6041321
Dollar. The pic says $1.

>>6026207

$60, with a $1 day-one "optional" DLC.

"All games are now 1/2 price, plus one dollar."

>>6042566
It could also be peso.

>28 days ago

$1.50

Stop giving assburger answers.

>>6043646
Here's some visual aid and big letters.

>>6043650
>>6043646
Dumbest bloke on /sci/, or all of 4chan?

>>5990232
We have a winner.

>>6043676
I don't see anything wrong in his solution.

best thread evar

>>6043704
What do they win?

>>6045426
Internets.

OC. Seriously, these people are retarded.

1+(1/2)t = t

>>6046721

All games are half price.
Plus a dollar.

How much is the CoD game?

>>6046739
$90

>>6043650
trolling, but still:
so the games costs $1.50
what is half of that?

>>6047001
(so the games costs $1.50)/2

>>6046618
What are those?

>>5991743
It means that paying for it is half the fun. What game is this?

>08/25/13
>230 posts
>still not deleted

>>6046721
the problem is that people think it originally costs 1$ and then you add half price and again half and so on. Now I don't know if the question is worded bad or if the people are stupid

What the fuck, he even got it right but totally fucked up after

>>>/v/211617198

Bumping this thread to show how stupid /v/ is.

>>6050226
The problem is still not solved.

Answer is still two. Can we please let this thread die now?

>>6050817
Does /v/ have an archive?

>>6052389

Games are half price plus a dollar.
Have you ever been in a real store?

>>5990230
A game costs 1 + 1/2 + 1/4 + 1/8 + ... + 1/n
Sum of the infinite series is 2.

>>6052726
I don't think that it's this difficult but the right sum is definitely 2.

>>6052740
no it's not pleb
/thread

yes

>1 month ago

If c=1+c/2
C=1+c/2 /*2
2C=2+1
2C=3
C=1.5

\mathcal{L} = i \bar\psi \gamma^\mu \partial_\mu \psi - e\bar{\psi}\gamma_\mu (A^\mu+B^\mu) \psi -m \bar{\psi} \psi - \frac{1}{4}F_{\mu\nu}F^{\mu\nu} \,
\partial_\mu \left( \frac{\partial \mathcal{L}}{\partial ( \partial_\mu \psi )} \right) - \frac{\partial \mathcal{L}}{\partial \psi} = 0 \,
\partial_\mu \left( \frac{\partial \mathcal{L}}{\partial ( \partial_\mu \psi )} \right) = \partial_\mu \left( i \bar{\psi} \gamma^\mu \right), \,
\frac{\partial \mathcal{L}}{\partial \psi} = -e\bar{\psi}\gamma_\mu (A^\mu+B^\mu) - m \bar{\psi} \,
i \partial_\mu \bar{\psi} \gamma^\mu + e\bar{\psi}\gamma_\mu (A^\mu+B^\mu) + m \bar{\psi} = 0 \,
i \gamma^\mu \partial_\mu \psi - e \gamma_\mu (A^\mu+B^\mu) \psi - m \psi = 0 \,
i \gamma^\mu \partial_\mu \psi - m \psi = e \gamma_\mu (A^\mu+B^\mu) \psi \,
$1.50

>>6052942
Thank you. Now we know how much C costs.

>>6052942
>C=1+c/2 /*2

What even is this line? Where did C come from?

Let 'P' denote price.

P = 1 + P/2
2P = 2 + P
2P - P = 2
P = 2

Moron.

A game costs half its price. How much does it cost?

Hello!

The game costs $1.50

Best!

>>6054403
price/2

>>6054403
infinity

>P = 1 + P/2
to
>P/2 = 1

What the fuck are you people doing? You can't throw away a P from the equation.

No answer from me, but here is a grammatically correct version.

C = 1+C/2
2*C = 2+C
C = 2

>>6052942
Oh my god how did you fuck that up so badly?

>>6057838
The P will go away if you divide it by zero.

>>6058680
It is still wrong. "Price" should be spelled "prize".

>>5990230
plus half it is price

>>6058680

Yesterday the price was $20
today it is half price

plus a dollar

$11

>>6059991
>Yesterday the price was $20
No, it was not.

I want to play the game.

>>6061746
You already lost.

g = game
c = cost
h = half
p = price

g = c * 1 + h*p

too many unknowns

>>5990230
>it's - it is price ?
/thread

p(x) = x/2 +1

find point where p = x

p(2) = 2/2+1 = 2
p(2) = 2

Mark point P at P(2 | 2) in your graph. Done.

Wow this sure was difficult.

>>5990230
$1 plus half it is price??? What the fuck is that?

Its a paradox,
The only way to half of the game price be the game price, is when the cost of the game is 0, but it says first, the game cost 1$ dollar.

>>5990230
>A game costs $1 plus half it's price.
>it's price
>A game costs $1 plus half it is price.
>A game costs $1 plus half, it is price.
>A game costs $1 plus half; it is (its) price.
>A game costs $1 plus half, that is its price.
$1.50

>>6064124
How much the game costs.

>>6064957
$1.50

>>5990332
He did. He said P=1+P/2.

>>5990374

Very elegant.

P = 1 + 1/2(1 + 1/2(1 + 1/2(1 + 1/2(...

Subtract 1 from both sides:

P-1 = 1/2(1 + 1/2(1 + 1/2(1 + 1/2(...

Multiple both sides by 2:

2P-2 = (1 + 1/2(1 + 1/2(1 + 1/2(...

Substitute the right side with P, as the first equality allows us to do:

2P-2 = P

Subtract P from both sides:

P-2 = 0

Add 2 to both sides:

P = 2

>>6037073
> Gets up to p=1+1
> Doesn't make the obvious conclusion that p=2
> Instead goes full retard and concludes that 0=0

Way to snatch defeat from the jaws of victory.

A game does not cost its price. How much does it cost?

We solve this problem by iteration, taking all numbers from -∞ to ∞ and testing each one to see if they work.

>>5990230
Cost and price are separate entities. Cost is relative to what is being given in exchange, without a context this cannot be defined

>>5990230

Sorry OP, I don't want to buy your game for infinite money.

>>6066955
Infinite money does not exist.

>>6067338
its obvious you're not american.

Oh jesus fuck it's TWO DOLLARS

>>5991743
English wins, get rekt Mathematicians.

>>6067384
Why?

>>6067685
It can be described as a geometric serie, with the value 1.999..., and the theorem of .99999...=1 will give 1+0.999...=2

>>6035855
No shit genius...

Make some business contract

game_cost = 1
game_cost += game_cost / 2
print game_cost

V = 0.5 + V/2
V - V/2 = 0.5
V/2 = 0.5
V = 0.5(2)
V = 1

The conclusion is true
>A game costs $1

The step was taken
>plus half it's price

I am Victorious

>>5991783
Yes.

L = Sum(i=0 to Infinity) ((-1)^i) = 1 / (1 - (-1)) = 1/2

Q.E.D

Roughly the derivative of the square root of pi divided by dy to the power of dx.

>>6068431
>fancy maths talk
Please explain in English.

Here's something with a bit more substance

x=0.5x+1
0.5x=1
x=2
Not that hard unless it is some kid of troll question

>>6069709
wtf?

>>6069608
x = -1
y = 1 (or vice versa for x and y)
z = 0
and n is an odd natural number

what do i win?

>>6069608
n = infinity
x = 1
y = 0.999...
z = 1

>>6069608

http://en.wikipedia.org/wiki/Fermat's_Last_Theorem

>>6070932
I lack the money to purchase all of them.

How much does it cost?

>A game costs $1 plus half it's price
>half it is price

>>6069734

so (-1)^2 + 1^2 = 2 = 0

nice job bro good math

>>5990230
>plus half it is price.

>>6069709
It is a trick question and you fell for it.

It's obvious that the "it's" isn't a typo...sort of. A game costs $1 plus half [of] it ($0.50) is [the] price. Therefore, the game costs $1.50. /thread

>>6072941

and by it's obvious
you mean you want it to mean that
too bad you are just wrong

>>5991741
>>5991773
>>5991783
>>5991787
>>5991806
>>5992417
>>6013820
holy shit I just came across this thread, and your posts gave me cancer.
Stop using the word "paraox", you have no idea what it means, and also please finish your primary school education before posting here again.
How you think negative numbers are a paradox is beyond me.
>"A paradox is a statement that apparently contradicts itself and yet might be true"
>http://en.wikipedia[.]org/wiki/Paradox

I feel like I've been had by a god-tier troll
>picture NOT related

>>6071862
>2 is an odd number

I have a coupon for 1/3 off so it costs a dollar

FOR FUCK'S SAKE IT'S $1.50 HOW LONG CAN YOU DISCUSS THIS?

>>5990230
Game costs $1 PLUS half its price
price is $1 so half the price would be .5
Game cost $1.50

>trying to argue over a problem with a flawed premise.
>half its price
>its price
The only way the original question could make sense is if it cost 2 dollars. Half >>its price<< can only be 1 dollar. If it's anything but 2$, then it's not half >>its price<<

>>5990230
It cost $1,50, the half of 1,50=0,75, so the game cost 2,25, is that what you want?