Find roots of polynomial $$ p(x) = 10000x^4+5658x^3+671x^2-1917x+17 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.0089\\[1 em]x_2 &= 0.4061\\[1 em]x_3 &= -0.4904+0.4796i\\[1 em]x_4 &= -0.4904-0.4796i \end{aligned} $$Explanation
Polynomial $ 10000x^4+5658x^3+671x^2-1917x+17 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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