$$5x^4-50x^2+125 = 0$$
Answer
$$ \begin{matrix}x_1 = 2.23607 & x_2 = -2.23607 \\[1 em] \end{matrix} $$
Explanation
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using quartic formulas
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Polynomial Equations Solver