Find roots of polynomial $$ p(x) = x^3-5x^2+8x-13 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 3.7946\\[1 em]x_2 &= 0.6027+1.7501i\\[1 em]x_3 &= 0.6027-1.7501i \end{aligned} $$Explanation
Polynomial $ x^3-5x^2+8x-13 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.
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