Question

In the following exercises, solve.

$\sqrt{5q+3}-4=0$.

Short answer

$q=2.6$.

Step-by-step solution

Step 1. Given information.

To solve$\sqrt{5q+3}-4=0$.

Step 2. Solution.

Isolate radical to one side, take square and simplify.

$$\begin{gathered} \sqrt{5q+3}-4=0 \\ \sqrt{5q+3}-4+4=0+4 \\ \sqrt{5q+3}=4 \\ {\left(\sqrt{5q+3}\right)}^2=4^2 \\ 5q+3=16 \\ 5q+3-3=16-3 \\ 5q=13 \\ \frac{5q}{5}=\frac{13}{5} \\ q=2.6 \end{gathered}$$