Find roots of polynomial $$ p(x) = 10x^2+16x+40 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -\frac{ 4 }{ 5 }+\frac{ 2 \sqrt{ 21}}{ 5 }i\\[1 em]x_2 &= -\frac{ 4 }{ 5 }-2 \frac{\sqrt{ 21 }}{ 5 }i \end{aligned} $$Explanation
The solutions of $ 10x^2+16x+40 = 0 $ are: $ x = -\dfrac{ 4 }{ 5 }+\dfrac{ 2 \sqrt{ 21}}{ 5 }i ~ \text{and} ~ x = -\dfrac{ 4 }{ 5 }-\dfrac{ 2 \sqrt{ 21}}{ 5 }i$.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this quadratic equation.
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