$$x^5+2x^4+3x^2+4x-74650 = 0$$
Answer
$$ \begin{matrix}x_1 = 9.05618 & x_2 = -8.06115+5.51508i & x_3 = -8.06115-5.51508i \\[1 em] x_4 = 2.53306+8.94369i & x_5 = 2.53306-8.94369i \\[1 em] \end{matrix} $$
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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