Find roots of polynomial $$ p(x) = -3x^2+18x^2-20 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= \frac{ 2 \sqrt{ 3}}{ 3 }\\[1 em]x_2 &= -2 \frac{\sqrt{ 3 }}{ 3 } \end{aligned} $$Explanation
Step 1:
Combine like terms:
$$ \color{blue}{-3x^2} + \color{blue}{18x^2} -20 = \color{blue}{15x^2} -20 $$Step 2:
The solutions of $ 15x^2-20 = 0 $ are: $ x = -2 \dfrac{\sqrt{ 3 }}{ 3 } ~ \text{and} ~ x = \dfrac{ 2 \sqrt{ 3}}{ 3 }$.
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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