$$x^4 = 25$$
Answer
$$ \begin{matrix}x_1 = 2.23607 & x_2 = -2.23607 & x_3 = 2.23607i \\[1 em] x_4 = -2.23607i & \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} x^4 &= 25&& \text{move all terms to the left hand side } \\[1 em]x^4-25 &= 0&& \\[1 em] \end{aligned} $$
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