/sci/ - Science & Math » Thread #10839666

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Anonymous Fri 26 Jul 23:40:38 2019 No.10839666 View Reply Original Report

Quoted By: >>10839679 >>10839761

could x^2 - y^2 = a^2 - b^2 for any whole number as x y and a b greater than 1?

Anonymous

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Anonymous Fri 26 Jul 2019 23:45:24 No.10839679 Report

Quoted By: >>10839788 >>10839800

>>10839666
Anon, either you wrote the question wrong or my eyes have gone funny.
Just set x=a and y=b

Anonymous

Anonymous Sat 27 Jul 2019 00:21:08 No.10839761 Report

Quoted By:

>>10839666
(x-y)(x+y)=(a-b)(a+b)
The remainder is left to the reader as an exercise.

Anonymous

Anonymous Sat 27 Jul 2019 00:34:44 No.10839788 Report

Quoted By: >>10840177

>>10839679
LMFAO! The amount of brainlets here.

Anonymous

Anonymous Sat 27 Jul 2019 00:41:25 No.10839800 Report

Quoted By: >>10840177

>>10839679
Or x=y and a=b, zero sum both sides

Anonymous

Anonymous Sat 27 Jul 2019 04:08:04 No.10840177 Report

Quoted By: >>10840479

>>10839788
>>10839800
What exactly does this question accomplish?
Is it just supposed to be an introduction to making proofs?
Did OP want AN answer or every possible answer?

Anonymous

Anonymous Sat 27 Jul 2019 07:34:29 No.10840479 Report

Quoted By:

>>10840177
Ask op that idk. We're just as confused.

Anonymous

Anonymous Sat 27 Jul 2019 10:42:14 No.10840759 Report

Quoted By:

x^2 + b^2 = a^2 + y^2
it's well known which numbers can be written as sum of 2 squares, and in how many ways
5 = 4 + 1
13 = 9 + 4
65 = 64 + 1 = 36 + 25
let that sink in for a while

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