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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 
$y = c^2a^2$ $x = b^2a^2$ ok, now what? 
March 31st, 2019, 08:54 AM  #7  
Senior Member Joined: Aug 2018 From: România Posts: 108 Thanks: 7  Quote:
$\displaystyle x=b^2a^2$ , $\displaystyle y=2a^2b^2$ 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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