Question

In the following exercises, solve.

$\sqrt{5x-6}=8$

Short answer

On solving, we get$x=14$

Step-by-step solution

Given information

Given equation$\sqrt{5x-6}=8$

Square both sides and solve

Solving, we get

$$\begin{gathered} \sqrt{5x-6}=8 \\ 5x-6=8^2 \\ 5x-6=64 \\ 5x=70 \\ x=14 \end{gathered}$$

Checking the value

Checking, we get

$$\begin{gathered} \sqrt{5\left(14\right)-6}=8 \\ \sqrt{70-6}=8 \\ \sqrt{64}=8 \\ 8=8 \end{gathered}$$

So its true