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March 29th, 2019, 01:14 AM   #1
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Find all values for x, y

We know that a^2,b^2,c^2 are different squares.
We've got these 3 equations
x+y=a^2
2x+y=b^2
x+2y=c^2
Find all x,y

Last edited by skipjack; March 29th, 2019 at 03:15 AM.
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March 29th, 2019, 03:14 AM   #2
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What do you mean by "squares"?
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March 29th, 2019, 04:32 AM   #3
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Squares mean for example a^2 is square
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March 29th, 2019, 05:19 AM   #4
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Any number can be written as a² or b² or c².

For simplicity, let's take a = 0, x = b² and y = -b².
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March 29th, 2019, 06:08 AM   #5
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$\displaystyle x+y=\frac{a^2 + b^2 +c^2 }{4}$ .
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March 29th, 2019, 06:23 AM   #6
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$y = c^2-a^2$

$x = b^2-a^2$

ok, now what?
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March 31st, 2019, 08:54 AM   #7
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Quote:
Originally Posted by Smartalec View Post
We know that a^2,b^2,c^2 are different squares.
We've got these 3 equations
x+y=a^2
2x+y=b^2
x+2y=c^2
Find all x,y
Hello,

$\displaystyle x=b^2-a^2$ , $\displaystyle y=2a^2-b^2$ and $\displaystyle 3a^2=b^2+c^2$.

All the best,

Integrator

Last edited by Integrator; March 31st, 2019 at 08:57 AM.
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