Precalculus with Limits
Precalculus with Limits
3rd Edition
ISBN: 9781133947202
Author: Ron Larson
Publisher: Cengage Learning
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Chapter A.5, Problem 49E
To determine

Tofind:Thesolution of the equation 2x2+5x−8=0 by completing the square.

Expert Solution & Answer
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Answer to Problem 49E

The solutions of the equation 2x2+5x−8=0 are x=−54+894 and x=−54−894 .

Explanation of Solution

Given information:

The given equation is 2x2+5x−8=0 .

Calculation:

Solve the given equation.

  2x2+5x−8=0x2+52x−4=0x2+2⋅54⋅x+(54)2=4+(54)2 {Add (54)2 both the sides}(x+54)2=4+2516 {We know that(a+b)2=a2+2ab+b2}

Further simplify the equation.

  (x+54)2=4+2516(x+54)2=8916x+54=±8916x=−54±8916

Since, there are two possible values of x . Solveeach.

  x=−54+8916=−54+894

and

  x=−54−8916=−54−894

From the above, it is clear that the values of x are −54+894 and −54−894 .

Therefore, the solutions of the equation 2x2+5x−8=0 are x=−54+894 and x=−54−894 .

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Chapter A.5, Problem 48E
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Chapter A.5, Problem 50E

Chapter A Solutions

Precalculus with Limits

Ch. A.1 - Prob. 1ECh. A.1 - Prob. 2ECh. A.1 - Prob. 3ECh. A.1 - Prob. 4ECh. A.1 - Prob. 5ECh. A.1 - Prob. 6ECh. A.1 - Prob. 7ECh. A.1 - Prob. 8ECh. A.1 - Prob. 9ECh. A.1 - Prob. 10E
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A.5 - Prob. 24ECh. A.5 - Prob. 25ECh. A.5 - Prob. 26ECh. A.5 - Prob. 27ECh. A.5 - Prob. 28ECh. A.5 - Prob. 29ECh. A.5 - Prob. 30ECh. A.5 - Prob. 31ECh. A.5 - Prob. 32ECh. A.5 - Prob. 33ECh. A.5 - Prob. 34ECh. A.5 - Prob. 35ECh. A.5 - Prob. 36ECh. A.5 - Prob. 37ECh. A.5 - Prob. 38ECh. A.5 - Prob. 39ECh. A.5 - Prob. 40ECh. A.5 - Prob. 41ECh. A.5 - Prob. 42ECh. A.5 - Prob. 43ECh. A.5 - Prob. 44ECh. A.5 - Prob. 45ECh. A.5 - Prob. 46ECh. A.5 - Prob. 47ECh. A.5 - Prob. 48ECh. A.5 - Prob. 49ECh. A.5 - Prob. 50ECh. A.5 - Prob. 51ECh. A.5 - Prob. 52ECh. A.5 - Prob. 53ECh. A.5 - Prob. 54ECh. A.5 - Prob. 55ECh. A.5 - Prob. 56ECh. A.5 - Prob. 57ECh. A.5 - Prob. 58ECh. A.5 - Prob. 59ECh. A.5 - Prob. 60ECh. A.5 - Prob. 61ECh. A.5 - Prob. 62ECh. A.5 - Prob. 63ECh. A.5 - Prob. 64ECh. A.5 - Prob. 65ECh. A.5 - Prob. 66ECh. A.5 - Prob. 67ECh. A.5 - Prob. 68ECh. A.5 - Prob. 69ECh. A.5 - Prob. 70ECh. A.5 - Prob. 71ECh. A.5 - Prob. 72ECh. A.5 - Prob. 73ECh. A.5 - Prob. 74ECh. A.5 - Prob. 75ECh. 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