Question

In the following exercises, solve.

$\sqrt{2m-3}-5=0$

Short answer

The solution of the given equation is $m=14$.

Step-by-step solution

Step 1. Given information.

The given equation is:

$\sqrt{2m-3}-5=0$

Step 2. Solve the equation.

The given equation can be written as:

$\sqrt{2m-3}=5$

Take square on both sides.

$\begin{array}{rcl}(\sqrt{2m-3}{)}^2& =& 5^2\\ 2m-3& =& 25\\ 2m& =& 25+3\\ 2m& =& 28\end{array}$

Divide both sides by 2.

$\begin{array}{rcl}\frac{2m}{2}& =& \frac{28}{2}\\ m& =& 14\end{array}$

Step 3. Conclusion.

The solution of the given equation is $m=14$.