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.
$5 x^{2} = 13 x + 6$

The required solution is $x = - \frac{2}{5}, 3$ and the graph of the solution is shown below:

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

We have:

$5 x^{2} = 13 x + 6$

Step 2. Solve the equation algebraically.

The equation is $5 x^{2} = 13 x + 6$ .

$5 x^{2} - 13 x - 6 = 0$

For a quadratic equation of the form $a x^{2} + b x + c = 0$ the solutions are:

$x_{1, 2} = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$

For $a = 5, b = - 13, c = - 6$

$x_{1, 2} = \frac{- (- 13) \pm \sqrt{{(- 13)}^{2} - 4 \cdot 5 (- 6)}}{2 \cdot 5} x_{1, 2} = \frac{- (- 13) \pm 17}{2 \cdot 5} x = 3, - \frac{2}{5}$

Step 3. Verify the solution using a graphing utility.

The solution of the equation is $x = - \frac{2}{5}, 3$ .

Draw the graph of the equation $5 x^{2} = 13 x + 6$ 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.
$5 x^{2} = 13 x + 6$

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.5x2=13x+6

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.
$5 x^{2} = 13 x + 6$