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March 29th, 2019, 12:14 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 02:15 AM. 
March 29th, 2019, 02:14 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,968 Thanks: 2217 
What do you mean by "squares"?

March 29th, 2019, 03:32 AM  #3 
Newbie Joined: Mar 2019 From: Arizona Posts: 2 Thanks: 0 
Squares mean for example a^2 is square

March 29th, 2019, 04:19 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 20,968 Thanks: 2217 
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, 05:08 AM  #5 
Senior Member Joined: Dec 2015 From: somewhere Posts: 634 Thanks: 91 
$\displaystyle x+y=\frac{a^2 + b^2 +c^2 }{4}$ . 
March 29th, 2019, 05:23 AM  #6 
Math Team Joined: Jul 2011 From: Texas Posts: 3,016 Thanks: 1600 
$y = c^2a^2$ $x = b^2a^2$ ok, now what? 
March 31st, 2019, 07:54 AM  #7  
Member Joined: Aug 2018 From: România Posts: 88 Thanks: 6  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 07:57 AM.  

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