Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

Use the Square Root Method to find the real solutions of ${(x + 4)}^{2} = 9$ .

Real solution of ${(x + 4)}^{2} = 9$ is x = -1 and $x = - 7$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

We have given equation is,

${(x + 4)}^{2} = 9$

Step 2. Concept used.

If $a^{2} = b t h e n a = \sqrt{b} a n d a = - \sqrt{b}$ .

Step 3. Explanation.

We have given,

${(x + 4)}^{2} = 9$

Using square root method,

localid="1646649530505" $(x + 4) = \sqrt{9} a n d (x + 4) = - \sqrt{9}$

Solving both equations for x,

$(x + 4) = 3 a n d (x + 4) = - 3 \Rightarrow x = 3 - 4 a n d x = - 3 - 4 \Rightarrow x = - 1 a n d x = - 7$

Step 4. Conclusion.

Hence, the real solution for ${(x + 4)}^{2} = 9$ is

$x = - 1$ and $x = - 7$

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Use the Square Root Method to find the real solutions of ${(x + 4)}^{2} = 9$ .

Step by Step Solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Explanation.

Step 4. Conclusion.

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Use the Square Root Method to find the real solutions of (x+4)2=9.

Step by Step Solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Explanation.

Step 4. Conclusion.

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Use the Square Root Method to find the real solutions of ${(x + 4)}^{2} = 9$ .