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# Proof

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1. Hi everyone,

I have been given the following problem, and I know that it's true but I'm having trouble to prove it algebraically:

"If the sum of two numbers, a and b, is 1, then a^2 + b = b^2 + a"

I have managed to get it to the form "a (a - 1) = b (b - 1)", but I don't know where to go from there...
2. (Original post by Electrogeek)
Hi everyone,

I have been given the following problem, and I know that it's true but I'm having trouble to prove it algebraically:

"If the sum of two numbers, a and b, is 1, then a^2 + b = b^2 + a"

I have managed to get it to the form "a (a - 1) = b (b - 1)", but I don't know where to go from there...
a+b= 1

You need to multiply both sides of the equaton by something. Look at what you're trying to get to and hopefully that should give you an idea.

I can't really say anything more without giving the solution away!
3. Done it now - thanks for the hint.

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Updated: October 1, 2016
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