Question
$$7+9x^2-11x = 0$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 11 }{ 18 }+\dfrac{\sqrt{ 131 }}{ 18 }i & x_2 = \dfrac{ 11 }{ 18 }-\dfrac{\sqrt{ 131 }}{ 18 }i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 7+9x^2-11x &= 0&& \text{simplify left side} \\[1 em]9x^2-11x+7 &= 0&& \\[1 em] \end{aligned} $$
$ 9x^{2}-11x+7 = 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