Find roots of polynomial $$ p(x) = 9x^2+42x+52 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -\frac{ 7 }{ 3 }+\frac{\sqrt{ 3 }}{ 3 }i\\[1 em]x_2 &= -\frac{ 7 }{ 3 }- \frac{\sqrt{ 3 }}{ 3 }i \end{aligned} $$Explanation
The solutions of $ 9x^2+42x+52 = 0 $ are: $ x = -\dfrac{ 7 }{ 3 }+\dfrac{\sqrt{ 3 }}{ 3 }i ~ \text{and} ~ x = -\dfrac{ 7 }{ 3 }-\dfrac{\sqrt{ 3 }}{ 3 }i$.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this quadratic equation.
This page was created using
Polynomial Roots Calculator