# Minimum!

Algebra Level 4

Let $$x_1$$ and $$x_2$$ be the roots of the equation $$x^2+p x -\dfrac{1}{2 p^2}=0$$, where $$x$$ is unknown and $$p$$ is a real parameter.Then find the minimum value of $${x_1}^4 +{x_2}^4$$.