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/sci/ - Science & Math


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9300664 No.9300664 [Reply] [Original]

a and b are complex, a+b and ab are algebraic. Are a and b algebraic?

>> No.9300680

>>9300664
do your homework fegit

>> No.9301107
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9301107

>>9300664
yes

>> No.9301128

>>9300664
Algebraic over?

>> No.9301136

>>9300664

a=algebraic/b
algebraic/b + b = Algebraic
b^2 - b*Algebraic = -algebraic

>> No.9302367

√2 and -√2 are irrational. √2+(-√2) and √2(-√2) are rational. Are √2 and -√2 rational.

>> No.9303340

>>9302367
I'm taking the bait.

>> No.9304158

>>9300664
If a and b can be expressed as a + bi, where both a and b are integers, then a and b are algebraic.

>> No.9305212

>>9301136
https://math.stackexchange.com/questions/779162/sum-and-product-of-two-transcendental-numbers-cant-be-both-algebraic