Find roots of polynomial $$ p(x) = 6x^4-14x^3+10x^2-1 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.2659\\[1 em]x_2 &= 0.4518\\[1 em]x_3 &= 1.0737+0.4845i\\[1 em]x_4 &= 1.0737-0.4845i \end{aligned} $$Explanation
Polynomial $ 6x^4-14x^3+10x^2-1 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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