Question
$$\frac{9}{b} = \frac{b}{4}$$
Answer
$$ \begin{matrix}b_1 = 6 & b_2 = -6 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} \frac{9}{b} &= \frac{b}{4}&& \text{multiply ALL terms by } \color{blue}{ b\cdot4 }. \\[1 em]b\cdot4\cdot\frac{9}{b} &= b\cdot4 \cdot \frac{b}{4}&& \text{cancel out the denominators} \\[1 em]36 &= b^2&& \text{move all terms to the left hand side } \\[1 em]36-b^2 &= 0&& \text{simplify left side} \\[1 em]-b^2+36 &= 0&& \\[1 em] \end{aligned} $$
$ -x^{2}+36 = 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
Equations Solver