Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.
$(x + 7) (x - 1) = {(x + 1)}^{2}$

The required solution is $x = 2$ and the graph of the solution is given below:

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

We have:

$(x + 7) (x - 1) = {(x + 1)}^{2}$

Step 2. Solve the equation algebraically.

The equation is $(x + 7) (x - 1) = {(x + 1)}^{2} .$

Expand:

$x^{2} + 6 x - 7 = x^{2} + 2 x + 1$

Add $7$ to both sides:

$x^{2} + 6 x - 7 + 7 = x^{2} + 2 x + 1 + 7 x^{2} + 6 x = x^{2} + 2 x + 8$

Subtract $x^{2} + 2 x$ to both sides:

$x^{2} + 6 x - (x^{2} + 2 x) = x^{2} + 2 x + 8 - (x^{2} + 2 x) 4 x = 8 \frac{4 x}{4} = \frac{8}{4} x = 2$

Step 3. Verify the solution using a graphing utility.

The solution of the equation is $x = 2 .$

Draw the graph of the equation $(x + 7) (x - 1) = {(x + 1)}^{2}$ using the graphing utility:

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.
$(x + 7) (x - 1) = {(x + 1)}^{2}$

Step by Step Solution

Step 1. Given information.

Step 2. Solve the equation algebraically.

Step 3. Verify the solution using a graphing utility.

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.x+7x-1=x+12

Step by Step Solution

Step 1. Given information.

Step 2. Solve the equation algebraically.

Step 3. Verify the solution using a graphing utility.

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In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.
$(x + 7) (x - 1) = {(x + 1)}^{2}$