Find roots of polynomial $$ p(x) = 45x^4-768x^2+1024 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -1.2074\\[1 em]x_2 &= 1.2074\\[1 em]x_3 &= 3.9508\\[1 em]x_4 &= -3.9508 \end{aligned} $$Explanation
Polynomial $ 45x^4-768x^2+1024 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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