Find roots of polynomial $$ p(x) = -3x^2+3x+4 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.7583\\[1 em]x_2 &= -0.7583 \end{aligned} $$Explanation
The solutions of $ -3x^2+3x+4 = 0 $ are: $ x = \dfrac{ 1 }{ 2 }-\dfrac{\sqrt{ 57 }}{ 6 } ~ \text{and} ~ x = \dfrac{ 1 }{ 2 }+\dfrac{\sqrt{ 57 }}{ 6 }$.
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