Question
Find roots of polynomial $$ p(x) = -15x+2x^2-8x+1 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 11.4564\\[1 em]x_2 &= 0.0436 \end{aligned} $$Explanation
Step 1:
Combine like terms:
$$ \color{blue}{-15x} +2x^2 \color{blue}{-8x} +1 = 2x^2 \color{blue}{-23x} +1 $$Step 2:
The solutions of $ 2x^2-23x+1 = 0 $ are: $ x = \dfrac{ 23 }{ 4 }-\dfrac{\sqrt{ 521 }}{ 4 } ~ \text{and} ~ x = \dfrac{ 23 }{ 4 }+\dfrac{\sqrt{ 521 }}{ 4 }$.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this quadratic equation.
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