Question

Solve :

$1-\frac{4}{b}=\frac{12}{b^2}$

Short answer

$b=-2,6$

Step-by-step solution

Step 1. Given information

$1-\frac{4}{b}=\frac{12}{b^2}$

Step 2. Solving the equation by cross multiplication

$$\begin{gathered} 1-\frac{4}{b}=\frac{12}{b^2} \\ \frac{b-4}{b}=\frac{12}{b^2} \\ b(b-4)=12 \\ {b}^2-4b-12=0 \\ {b}^2-6b+2b-12=0 \\ b(b-6)+2(b-6)=0 \\ b=-2,6 \end{gathered}$$