Question 25
If the answer is not an integer, give the nearest integer. If the calculated answer has more than five digits, give its last five digits.
Real numbers $x,y$ with $|x|\ne|y|$ satisfy $x^3=20x+18y$ and $y^3=18x+20y$. Find $x^2+y^2$.
Real numbers $x,y$ with $|x|\ne|y|$ satisfy $x^3=20x+18y$ and $y^3=18x+20y$. Find $x^2+y^2$.