Question

In the following exercises, solve.

$\sqrt{9p+9}=\sqrt{10p-6}$

Short answer

The solution is$15$

Step-by-step solution

Step 1. Given information

The given information is$\sqrt{9p+9}=\sqrt{10p-6}$

Step 2. Squaring on both sides

$$\begin{gathered} \sqrt{9p+9}=\sqrt{10p-6} \\ squaringonbothsides \\ {\left(\sqrt{9p+9}\right)}^2={\left(\sqrt{10p-6}\right)}^2 \\ 9p+9=10p-6 \\ -p=-15 \\ p=15 \end{gathered}$$

The solution is$15$

Step 3. The solution

The solution is$15$