Find roots of polynomial $$ p(x) = -16x^2+400x+2600 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 30.3536\\[1 em]x_2 &= -5.3536 \end{aligned} $$Explanation
The solutions of $ -16x^2+400x+2600 = 0 $ are: $ x = \dfrac{ 25 }{ 2 }-\dfrac{ 5 \sqrt{ 51}}{ 2 } ~ \text{and} ~ x = \dfrac{ 25 }{ 2 }+\dfrac{ 5 \sqrt{ 51}}{ 2 }$.
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