Find roots of polynomial $$ p(x) = -5x^2+x-9 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= \frac{ 1 }{ 10 }+\frac{\sqrt{ 179 }}{ 10 }i\\[1 em]x_2 &= \frac{ 1 }{ 10 }- \frac{\sqrt{ 179 }}{ 10 }i \end{aligned} $$Explanation
The solutions of $ -5x^2+x-9 = 0 $ are: $ x = \dfrac{ 1 }{ 10 }+\dfrac{\sqrt{ 179 }}{ 10 }i ~ \text{and} ~ x = \dfrac{ 1 }{ 10 }-\dfrac{\sqrt{ 179 }}{ 10 }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