Question

In the following exercises, solve.

$\sqrt{4x-3}=7$

Short answer

On solving, we get$x=13$

Step-by-step solution

Given information

Given equation$\sqrt{4x-3}=7$

Square both sides and solve

Squaring, we get

$$\begin{gathered} \sqrt{4x-3}=7 \\ 4x-3=7^2 \\ 4x-3=49 \\ 4x=52 \\ x=13 \end{gathered}$$

Checking the value

Checking, we get

$$\begin{gathered} \sqrt{4\times 13-7}=7 \\ \sqrt{52-3}=7 \\ \sqrt{49}=7 \\ 7=7 \end{gathered}$$

So its true