Find roots of polynomial $$ p(x) = 5x^4+49x^3+83x^2+27x+1 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.0424\\[1 em]x_2 &= -0.371\\[1 em]x_3 &= -1.6398\\[1 em]x_4 &= -7.7467 \end{aligned} $$Explanation
Polynomial $ 5x^4+49x^3+83x^2+27x+1 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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