Find roots of polynomial $$ p(x) = -324y^5+2048y-4149 $$
Answer
The roots of polynomial $ p(y) $ are:
$$ \begin{aligned}y_1 &= -1.9009\\[1 em]y_2 &= 1.2818+0.6701i\\[1 em]y_3 &= 1.2818-0.6701i\\[1 em]y_4 &= -0.3313+1.7637i\\[1 em]y_5 &= -0.3313-1.7637i \end{aligned} $$Explanation
Polynomial $ -324y^5+2048y-4149 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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