Find roots of polynomial $$ p(x) = \frac{5}{4}x^2-15x-675 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 30\\[1 em]x_2 &= -18 \end{aligned} $$Explanation
Step 1:
Get rid of fractions by multipling equation by $ \color{blue}{ 4 } $.
$$ \begin{aligned} \frac{5}{4}x^2-15x-675 & = 0 ~~~ / \cdot \color{blue}{ 4 } \\[1 em] 5x^2-60x-2700 & = 0 \end{aligned} $$Step 2:
The solutions of $ 5x^2-60x-2700 = 0 $ are: $ x = -18 ~ \text{and} ~ x = 30$.
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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