Question
$$\frac{x^2+9x-20}{x-2} = 0$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 9 }{ 2 }-\dfrac{\sqrt{ 161 }}{ 2 } & x_2 = -\dfrac{ 9 }{ 2 }+\dfrac{\sqrt{ 161 }}{ 2 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} \frac{x^2+9x-20}{x-2} &= 0&& \text{multiply ALL terms by } \color{blue}{ x-2 }. \\[1 em](x-2)\frac{x^2+9x-20}{x-2} &= (x-2)\cdot0&& \text{cancel out the denominators} \\[1 em]x^2+9x-20 &= 0&& \\[1 em] \end{aligned} $$
$ x^{2}+9x-20 = 0 $ is a quadratic equation.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this equation.
This page was created using
Polynomial Equations Solver