Question
Find roots of polynomial $$ p(x) = -117000x^2+69120x+\frac{41472}{10} $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.6457\\[1 em]x_2 &= -0.0549 \end{aligned} $$Explanation
Step 1:
Get rid of fractions by multipling equation by $ \color{blue}{ 10 } $.
$$ \begin{aligned} -117000x^2+69120x+\frac{41472}{10} & = 0 ~~~ / \cdot \color{blue}{ 10 } \\[1 em] -1170000x^2+691200x+41472 & = 0 \end{aligned} $$Step 2:
The solutions of $ -1170000x^2+691200x+41472 = 0 $ are: $ x = -0.0549 ~ \text{and} ~ x = 0.6457$.
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