Question
Find roots of polynomial $$ p(x) = -\frac{2}{5}x^2-42x+1000 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 20\\[1 em]x_2 &= -125 \end{aligned} $$Explanation
Step 1:
Get rid of fractions by multipling equation by $ \color{blue}{ 5 } $.
$$ \begin{aligned} -\frac{2}{5}x^2-42x+1000 & = 0 ~~~ / \cdot \color{blue}{ 5 } \\[1 em] -2x^2-210x+5000 & = 0 \end{aligned} $$Step 2:
The solutions of $ -2x^2-210x+5000 = 0 $ are: $ x = -125 ~ \text{and} ~ x = 20$.
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