+0  
 
+1
614
1
avatar+94 

Find all real numbers x and y such that

 

\(x^2y^2+x^2+y^2+2xy=40\) and \(xy + x+y=8\)

 

Please explain your answer!

 Dec 22, 2020
 #1
avatar+118667 
+1

Hint:

 

\(x^2+y^2+2xy=(x+y)^2\\ and\\ x+y=8-xy\)

 

After I continued on a little further I found it easier to substitute z=xy and solve for z

then I solved for x and y after that.

 Dec 22, 2020

6 Online Users

avatar