Find roots of polynomial $$ p(x) = x^5-7 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.4758\\[1 em]x_2 &= 0.456+1.4035i\\[1 em]x_3 &= 0.456-1.4035i\\[1 em]x_4 &= -1.1939+0.8674i\\[1 em]x_5 &= -1.1939-0.8674i \end{aligned} $$Explanation
Polynomial $ x^5-7 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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