Find roots of polynomial $$ p(x) = -6x^2+6x+11 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.9434\\[1 em]x_2 &= -0.9434 \end{aligned} $$Explanation
The solutions of $ -6x^2+6x+11 = 0 $ are: $ x = \dfrac{ 1 }{ 2 }-\dfrac{ 5 \sqrt{ 3}}{ 6 } ~ \text{and} ~ x = \dfrac{ 1 }{ 2 }+\dfrac{ 5 \sqrt{ 3}}{ 6 }$.
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