Question
Find roots of polynomial $$ p(x) = x^2-3x-70-x+7 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 10.1854\\[1 em]x_2 &= -6.1854 \end{aligned} $$Explanation
Step 1:
Combine like terms:
$$ x^2 \color{blue}{-3x} \color{red}{-70} \color{blue}{-x} + \color{red}{7} = x^2 \color{blue}{-4x} \color{red}{-63} $$Step 2:
The solutions of $ x^2-4x-63 = 0 $ are: $ x = 2-\sqrt{ 67 } ~ \text{and} ~ x = 2+\sqrt{ 67 }$.
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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