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 March 29th, 2019, 01:14 AM #1 Newbie   Joined: Mar 2019 From: Arizona Posts: 2 Thanks: 0 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. March 29th, 2019, 03:14 AM #2 Global Moderator   Joined: Dec 2006 Posts: 21,105 Thanks: 2324 What do you mean by "squares"? March 29th, 2019, 04:32 AM #3 Newbie   Joined: Mar 2019 From: Arizona Posts: 2 Thanks: 0 Squares mean for example a^2 is square March 29th, 2019, 05:19 AM #4 Global Moderator   Joined: Dec 2006 Posts: 21,105 Thanks: 2324 Any number can be written as a² or b² or c². For simplicity, let's take a = 0, x = b² and y = -b². March 29th, 2019, 06:08 AM #5 Senior Member   Joined: Dec 2015 From: Earth Posts: 820 Thanks: 113 Math Focus: Elementary Math $\displaystyle x+y=\frac{a^2 + b^2 +c^2 }{4}$ .  March 29th, 2019, 06:23 AM #6 Math Team   Joined: Jul 2011 From: Texas Posts: 3,092 Thanks: 1674 $y = c^2-a^2$ $x = b^2-a^2$ ok, now what? March 31st, 2019, 08:54 AM   #7
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Quote:
 Originally Posted by Smartalec 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. Tags find, values ### real analysis- topology

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