Chapter 8: Q. 297 (page 824)

In the following exercises, solve.
$\sqrt{4 m + 2} + 2 = 6$

Short Answer

Expert verified

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

Step by step solution

Step 1. Given information.

The given equation is:

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

Step 2. Solve the equation.

The given equation can be written as:

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

Take square on both sides.

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

Divide both sides by 4.

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

Step 3. Conclusion.

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

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In the following exercises, solve.
$\sqrt{4 m + 2} + 2 = 6$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Solve the equation.

Step 3. Conclusion.

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In the following exercises, solve.4m+2+2=6

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Solve the equation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Discrete Mathematics

Mechanics Maths

Pure Maths

Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercises, solve.
$\sqrt{4 m + 2} + 2 = 6$