Precalculus Enhanced with Graphing Utilities
Precalculus Enhanced with Graphing Utilities
6th Edition
ISBN: 9780321795465
Author: Michael Sullivan, Michael III Sullivan
Publisher: PEARSON
Question
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Chapter A.6, Problem 78AYU
To determine

To solve: 5 x + 4  = 4 +  3 x  2

Expert Solution & Answer
Check Mark

Answer to Problem 78AYU

x = 1,  5 2

Explanation of Solution

5 x + 4  = 4 +  3 x  2

5( x + 4 )( x  2 ) x + 4  = 4( x + 4 )( x  2 ) +  3( x + 4 )( x  2 ) x  2    (Multiply ( x + 4 )( x  2 ) on both sides)

5( x  2 ) = ( 4x + 16 )( x  2 ) + 3( x + 4 )

5x  10 = 4 x 2  + 16x  8x  32 + 3x + 12

4 x 2  + 6x  10 = 0

a x 2  + bx + c = 0 Compare to standard form.

With a = 4, b = 6 , and c = 10 , the discriminant is b 2   4ac =  ( 6 ) 2   4( 4 )( 10 ) = 196 .

Since b 2   4ac > 0 , there are two real solutions. Use the quadratic formula with a = 4, b = 6, c = 10 and b 2   4ac = 196 .

x =  b ±  b 2   4ac 2a  =  ( 6 ) ±  196 2( 4 )  =  6 ± 14 8

x =  6 + 14 8  = 1 and x =  6  14 8  =  20 8  =  5 2

Therefore x = 1,  5 2 .

Chapter A.6 Solutions

Precalculus Enhanced with Graphing Utilities

Ch. A.6 - Prob. 11AYUCh. A.6 - Prob. 12AYUCh. A.6 - Prob. 13AYUCh. A.6 - Prob. 14AYUCh. A.6 - Prob. 15AYUCh. A.6 - Prob. 16AYUCh. A.6 - Prob. 17AYUCh. A.6 - Prob. 18AYUCh. A.6 - Prob. 19AYUCh. A.6 - Prob. 20AYUCh. A.6 - Prob. 21AYUCh. A.6 - Prob. 22AYUCh. A.6 - Prob. 23AYUCh. A.6 - Prob. 24AYUCh. A.6 - Prob. 25AYUCh. A.6 - Prob. 26AYUCh. A.6 - Prob. 27AYUCh. A.6 - Prob. 28AYUCh. A.6 - Prob. 29AYUCh. A.6 - Prob. 30AYUCh. A.6 - Prob. 31AYUCh. A.6 - Prob. 32AYUCh. A.6 - Prob. 33AYUCh. A.6 - Prob. 34AYUCh. A.6 - Prob. 35AYUCh. A.6 - Prob. 36AYUCh. A.6 - Prob. 37AYUCh. A.6 - Prob. 38AYUCh. A.6 - Prob. 39AYUCh. A.6 - Prob. 40AYUCh. A.6 - Prob. 41AYUCh. A.6 - Prob. 42AYUCh. A.6 - Prob. 43AYUCh. A.6 - Prob. 44AYUCh. A.6 - Prob. 45AYUCh. A.6 - Prob. 46AYUCh. A.6 - Prob. 47AYUCh. A.6 - Prob. 48AYUCh. A.6 - Prob. 49AYUCh. A.6 - Prob. 50AYUCh. A.6 - Prob. 51AYUCh. A.6 - Prob. 52AYUCh. A.6 - Prob. 53AYUCh. A.6 - Prob. 54AYUCh. A.6 - Prob. 55AYUCh. A.6 - Prob. 56AYUCh. A.6 - Prob. 57AYUCh. A.6 - Prob. 58AYUCh. A.6 - Prob. 59AYUCh. A.6 - Prob. 60AYUCh. A.6 - Prob. 61AYUCh. A.6 - Prob. 62AYUCh. A.6 - Prob. 63AYUCh. A.6 - Prob. 64AYUCh. A.6 - Prob. 65AYUCh. A.6 - Prob. 66AYUCh. A.6 - Prob. 67AYUCh. A.6 - Prob. 68AYUCh. A.6 - Prob. 69AYUCh. A.6 - Prob. 70AYUCh. A.6 - Prob. 71AYUCh. A.6 - Prob. 72AYUCh. A.6 - Prob. 73AYUCh. A.6 - Prob. 74AYUCh. A.6 - Prob. 75AYUCh. A.6 - Prob. 76AYUCh. A.6 - Prob. 77AYUCh. A.6 - Prob. 78AYUCh. A.6 - Prob. 79AYUCh. A.6 - Prob. 80AYUCh. A.6 - Prob. 81AYUCh. A.6 - Prob. 82AYUCh. A.6 - Prob. 83AYUCh. A.6 - Prob. 84AYUCh. A.6 - Prob. 85AYUCh. A.6 - Prob. 86AYUCh. A.6 - Prob. 87AYUCh. A.6 - Prob. 88AYUCh. A.6 - Prob. 89AYUCh. A.6 - Prob. 90AYUCh. A.6 - Prob. 91AYUCh. A.6 - Prob. 92AYUCh. A.6 - Prob. 93AYUCh. A.6 - Prob. 94AYUCh. A.6 - Prob. 95AYUCh. A.6 - Prob. 96AYUCh. A.6 - Prob. 97AYUCh. A.6 - Prob. 98AYUCh. A.6 - Prob. 99AYUCh. A.6 - Prob. 100AYUCh. A.6 - Prob. 101AYUCh. A.6 - Prob. 102AYUCh. A.6 - Prob. 103AYUCh. A.6 - Prob. 104AYUCh. A.6 - Prob. 105AYUCh. A.6 - Prob. 106AYUCh. A.6 - Prob. 107AYUCh. A.6 - Prob. 108AYUCh. A.6 - Prob. 109AYUCh. A.6 - Prob. 110AYUCh. A.6 - Prob. 111AYUCh. A.6 - Prob. 112AYUCh. A.6 - Prob. 113AYUCh. A.6 - Prob. 114AYUCh. A.6 - Prob. 115AYUCh. A.6 - Prob. 116AYUCh. A.6 - Prob. 117AYUCh. A.6 - Prob. 118AYUCh. A.6 - Prob. 119AYUCh. A.6 - Prob. 120AYUCh. A.6 - Prob. 121AYUCh. A.6 - Prob. 122AYUCh. A.6 - Prob. 123AYUCh. A.6 - Prob. 124AYUCh. A.6 - Prob. 125AYUCh. A.6 - Prob. 126AYUCh. A.6 - Prob. 127AYUCh. A.6 - Prob. 128AYUCh. A.6 - Prob. 129AYUCh. A.6 - Prob. 130AYUCh. A.6 - Prob. 131AYUCh. A.6 - Prob. 132AYUCh. A.6 - Prob. 133AYUCh. A.6 - Prob. 134AYUCh. A.6 - Prob. 135AYUCh. A.6 - Prob. 136AYUCh. A.6 - Prob. 137AYUCh. A.6 - Prob. 138AYUCh. A.6 - Prob. 139AYUCh. A.6 - Prob. 140AYUCh. A.6 - Prob. 141AYUCh. A.6 - Prob. 142AYUCh. A.6 - Prob. 143AYUCh. A.6 - Prob. 144AYUCh. A.6 - Prob. 145AYUCh. A.6 - Prob. 146AYUCh. A.6 - Prob. 147AYUCh. A.6 - Prob. 148AYU

Additional Math Textbook Solutions

Find more solutions based on key concepts
Evaluate the integrals in Exercises 17–66. 20.

Thomas' Calculus: Early Transcendentals (14th Edition)

log a =

Precalculus (10th Edition)

Trigonometric limits Use Theorem 3.11 to evaluate the following limits. 11. limx0tan5xx

Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book

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