Find roots of polynomial $$ p(x) = x^2-\frac{18}{10}x-\frac{35}{100} $$

The roots of polynomial $ p(x) $ are:

$$ \begin{aligned}x_1 &= 1.977\\[1 em]x_2 &= -0.177 \end{aligned} $$

Step 1:

Get rid of fractions by multipling equation by $ \color{blue}{ 100 } $.

$$ \begin{aligned} x^2-\frac{18}{10}x-\frac{35}{100} & = 0 ~~~ / \cdot \color{blue}{ 100 } \\[1 em] 100x^2-180x-35 & = 0 \end{aligned} $$

Step 2:

The solutions of $ 100x^2-180x-35 = 0 $ are: $ x = \dfrac{ 9 }{ 10 }-\dfrac{\sqrt{ 29 }}{ 5 } ~ \text{and} ~ x = \dfrac{ 9 }{ 10 }+\dfrac{\sqrt{ 29 }}{ 5 }$.

You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this quadratic equation.

Polynomial Roots Calculator