What is X 2 +Y 2 if X 3 + Y 3 equals 13/53 x 21/22????

What is X2+Y2 if X3+ Y3 equals 13/53 x 21/22????

This question is annoying plz help

 

Since X^3 + Y^3 =0.234133790........ The values of X, Y can be any positive fraction less than 1. E.G:

X=.25, then Y=[0.234133790 - .25^3]^ 1/3=0.6023140........and so on. Therefore, there are infinite solutions, for X, Y, less than 1.