Question
Find roots of polynomial $$ p(x) = 5x^2-2x^2+x-13 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.9217\\[1 em]x_2 &= -2.255 \end{aligned} $$Explanation
Step 1:
Combine like terms:
$$ \color{blue}{5x^2} \color{blue}{-2x^2} +x-13 = \color{blue}{3x^2} +x-13 $$Step 2:
The solutions of $ 3x^2+x-13 = 0 $ are: $ x = -\dfrac{ 1 }{ 6 }-\dfrac{\sqrt{ 157 }}{ 6 } ~ \text{and} ~ x = -\dfrac{ 1 }{ 6 }+\dfrac{\sqrt{ 157 }}{ 6 }$.
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