Find roots of polynomial $$ p(x) = x^4-2x-2 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.7976\\[1 em]x_2 &= 1.4945\\[1 em]x_3 &= -0.3485+1.2475i\\[1 em]x_4 &= -0.3485-1.2475i \end{aligned} $$Explanation
Polynomial $ x^4-2x-2 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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