Question
Find roots of polynomial $$ p(x) = -6x^2+46x-59 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 6.0381\\[1 em]x_2 &= 1.6285 \end{aligned} $$Explanation
The solutions of $ -6x^2+46x-59 = 0 $ are: $ x = \dfrac{ 23 }{ 6 }-\dfrac{ 5 \sqrt{ 7}}{ 6 } ~ \text{and} ~ x = \dfrac{ 23 }{ 6 }+\dfrac{ 5 \sqrt{ 7}}{ 6 }$.
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