Question

In the following exercises, solve.

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

Short answer

On solving, we get$m=14$

Step-by-step solution

Given information

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

Square both sides and calculate

Solving, we get

$$\begin{gathered} \sqrt{2m-3}-5=0 \\ \sqrt{2m-3}=5 \\ 2m-3=5^2 \\ 2m-3=25 \\ 2m=28 \\ m=14 \end{gathered}$$

Checking the value

Checking, we get

$$\begin{gathered} \sqrt{2\left(14\right)-3}-5=0 \\ \sqrt{28-3}-5=0 \\ \sqrt{25}-5=0 \\ 5-5=0 \end{gathered}$$

So its true