$$12x^5-16x^3-61x^2+3x+18 = 0$$
Answer
$$ \begin{matrix}x_1 = 0.5381 & x_2 = -0.54927 & x_3 = 1.92306 \\[1 em] x_4 = -0.95595+1.31347i & x_5 = -0.95595-1.31347i \\[1 em] \end{matrix} $$
Explanation
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using Newton method.
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