Find roots of polynomial $$ p(x) = 315x+56x^2+75x+20 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.0517\\[1 em]x_2 &= -6.9126 \end{aligned} $$Explanation
Step 1:
Combine like terms:
$$ \color{blue}{315x} +56x^2+ \color{blue}{75x} +20 = 56x^2+ \color{blue}{390x} +20 $$Step 2:
The solutions of $ 56x^2+390x+20 = 0 $ are: $ x = -\dfrac{ 195 }{ 56 }-\dfrac{ 11 \sqrt{ 305}}{ 56 } ~ \text{and} ~ x = -\dfrac{ 195 }{ 56 }+\dfrac{ 11 \sqrt{ 305}}{ 56 }$.
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