Find roots of polynomial $$ p(x) = 3x-4x^2-20x+48 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.9389\\[1 em]x_2 &= -6.1889 \end{aligned} $$Explanation
Step 1:
Combine like terms:
$$ \color{blue}{3x} -4x^2 \color{blue}{-20x} +48 = -4x^2 \color{blue}{-17x} +48 $$Step 2:
The solutions of $ -4x^2-17x+48 = 0 $ are: $ x = -\dfrac{ 17 }{ 8 }-\dfrac{\sqrt{ 1057 }}{ 8 } ~ \text{and} ~ x = -\dfrac{ 17 }{ 8 }+\dfrac{\sqrt{ 1057 }}{ 8 }$.
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