Q. 297 - Intermediate Algebra

Question

In the following exercises, solve.

$\sqrt{4m+2}+2=6$

Step-by-Step Solution

Answer

The solution of the given equation is $m=3.5$.

Step 1. Given information.

The given equation is:

$\sqrt{4m+2}+2=6$

Step 2. Solve the equation.

The given equation can be written as:

$\begin{array}{rcl}\sqrt{4m+2}& =& 6-2\\ \sqrt{4m+2}& =& 4\end{array}$

Take square on both sides.

$\begin{array}{rcl}(\sqrt{4m+2}{)}^2& =& (4{)}^2\\ 4m+2& =& 16\\ 4m& =& 16-2\\ 4m& =& 14\end{array}$

Divide both sides by 4.

$\begin{array}{rcl}\frac{4m}{4}& =& \frac{14}{4}\\ m& =& 3.5\end{array}$

Step 3. Conclusion.

The solution of the given equation is $m=3.5$.