Find roots of polynomial $$ p(x) = 13x^2-85x+82 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 5.3621\\[1 em]x_2 &= 1.1763 \end{aligned} $$Explanation
The solutions of $ 13x^2-85x+82 = 0 $ are: $ x = \dfrac{ 85 }{ 26 }-\dfrac{ 3 \sqrt{ 329}}{ 26 } ~ \text{and} ~ x = \dfrac{ 85 }{ 26 }+\dfrac{ 3 \sqrt{ 329}}{ 26 }$.
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