$$-3x^5+6x^4+x+2 = 0$$
Answer
$$ \begin{matrix}x_1 = 2.07346 & x_2 = 0.48537+0.6949i & x_3 = 0.48537-0.6949i \\[1 em] x_4 = -0.52211+0.41822i & x_5 = -0.52211-0.41822i \\[1 em] \end{matrix} $$
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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