# Find the complex solutions

Algebra Level 4

$\large \begin{cases} {x^5 + y^5=33} \\ {x+y=3 } \end{cases}$

If the system of equations above has two real and two complex solutions, what is the value of $$x^2+y^2$$ when $$x,y$$ are both not real numbers?

Note that $$a + b\sqrt{-1}$$ is a complex number where $$a,b$$ are real numbers.

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