Short Answer

Solve each equation.

$\sqrt{2 x + 1} = 3$

The solution is $x = 4$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information.

Given, to solve the equation $\sqrt{2 x + 1} = 3$ .

Step 2. Calculation.

Simplifying the equation:

$\begin{array}{l} \sqrt{2 x + 1} = 3 \\ {(\sqrt{2 x + 1})}^{2} = {(3)}^{2} \\ 2 x + 1 = 9 \\ 2 x = 9 - 1 \\ 2 x = 8 \\ x = \frac{8}{2} \\ x = 4 \end{array}$

Checking if the value of x satisfies the equation:

$\begin{array}{l} \sqrt{2 x + 1} = 3 \\ \sqrt{2 (4) + 1} = 3 \\ \sqrt{8 + 1} = 3 \\ \sqrt{9} = 3 \\ 3 = 3 \end{array}$

Hence the value of x satisfies the equation.

Step 3. Conclusion.

Hence, the solution is x=4.

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Algebra 2

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Short Answer

Solve each equation.

$\sqrt{2 x + 1} = 3$

Step by Step Solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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Algebra 2

Answers without the blur.

Short Answer

Solve each equation. 2x+1=3

Step by Step Solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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Solve each equation.

$\sqrt{2 x + 1} = 3$