Chapter 11.10, Problem 17WE

To determine

To find: The solution set of the given equation.

Answer to Problem 17WE

The solution set is $\left\{4\right\}$ .

Explanation of Solution

Given:

The given equation is:

  $\sqrt{4x}+2=6\dots \left(1\right)$

The solution of the given equation is calculated as:

  $\begin{array}{c}\sqrt{4x}=4\\ 4x=16\left[\text{Squaring}\text{both}\text{side}\right]\\ x=4\end{array}$

Check:

If $x=4$ then the equation $\left(1\right)$ is become as:

  $\begin{array}{c}\sqrt{4\left(4\right)}+2=6\\ 4+2=6\left[\text{True}\right]\end{array}$

Therefore the solution set is $\left\{4\right\}$ .