Find one ordered pair $(x,y)$ of real numbers such that $x + y = 10$ and $x^3 + y^3 = 162 + x^2 + y^2.$
(x,y) = (3 + 2*sqrt(2), 7 - 2*sqrt(2))
The answers are \((5-i\sqrt{\frac{19}{14}},5+i\sqrt{\frac{19}{14}})\)
There are no real solutions.
+292 
