Find roots of polynomial $$ p(x) = 5x^2-8x^2-2x+3 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.7208\\[1 em]x_2 &= -1.3874 \end{aligned} $$Explanation
Step 1:
Combine like terms:
$$ \color{blue}{5x^2} \color{blue}{-8x^2} -2x+3 = \color{blue}{-3x^2} -2x+3 $$Step 2:
The solutions of $ -3x^2-2x+3 = 0 $ are: $ x = -\dfrac{ 1 }{ 3 }-\dfrac{\sqrt{ 10 }}{ 3 } ~ \text{and} ~ x = -\dfrac{ 1 }{ 3 }+\dfrac{\sqrt{ 10 }}{ 3 }$.
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