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1862885 No.1862885 [Reply] [Original]

hey guize!
can you solve this?

the exuation x^2-2kx+1=0 has two distinct real roots. Find the set of all possible values of k

i want the how to for it as well please!!
thannks!

>> No.1862891

Let me WolframAlpha that for you.

http://www.wolframalpha.com/input/?i=x^2-2kx%2B1%3D0

See: "Solutions for the variable x"

>> No.1862897

√(b^2 - 4ac) > 0

where a = 1, b = -2k and c = 1

>> No.1862910

>exuation
Fucking spelling, how does that work?

>> No.1862913

>>1862897

minus the wq. root. my bad

just b^2 - 4ac > 0

>> No.1862928

▲=b^2-4ac
=(=2kx)-4(1)(1)
4kx^2-4
4kx^2-4=0
-4(kx^2+1)=0
k=0 or k+1=0
k=0 or k=-1

>> No.1862943

guize is this right?
>>1862928>>1862928>>1862928

>> No.1862955

bump for homework

>> No.1862970

anyone?

>> No.1862977

You want (2k)^2 - 4 > 0
Which implies k^2 > 1
So k < -1 or k > 1

>> No.1863017

>>1862928
that gives one real root, plus why the hell do you have x in your discriminant?

∆ = (2k)^2 - 4 > 0
4k^2 - 4 > 0
(k-1)(k+1) > 0

k > 1 or k < -1

>> No.1863034

> 0
how the hell did you get this thingy?

>> No.1863056

...

>> No.1863107

fuck this, im going to bed!