Question

Solve :

$1-\frac{2}{a}=\frac{15}{a^2}$

Short answer

$a=-3,5$

Step-by-step solution

Step 1. Given information

$1-\frac{2}{a}=\frac{15}{a^2}$

Step 2. solving by cross multiplication

$$\begin{gathered} 1-\frac{2}{a}=\frac{15}{a^2} \\ \frac{a-2}{a}=\frac{15}{a^2} \\ a(a-2)=15 \\ {a}^2-2a-15=0 \\ {a}^2-5a+3a-15=0 \\ a(a-5)+3(a-5)=0 \\ a=-3,5 \end{gathered}$$