Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
1st Edition
ISBN: 9780078682278
Author: McGraw-Hill, Berchie Holliday
Publisher: Glencoe/McGraw-Hill
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Chapter 10.1, Problem 43E
To determine

Find the value of the given equation using “completing the square method”.

Expert Solution & Answer
Check Mark

Answer to Problem 43E

The values of the given equation are z=2+4 and z=−2+4 .

Explanation of Solution

Given:

The given equation is z2−8z=−14 .

Calculation:

Use “completing the square method”.

Add 16 to both sides.

  z2−8z+16=−14+16⇒z2−8z+16=2⇒z2−4z−4z+16=2⇒z(z−4)−4(z−4)=2⇒(z−4)2=2⇒z−4=±2⇒z−4+4=2+4 or z−4+4=−2+4⇒z=2+4 or z=−2+4

Hence the values of the given equation are z=2+4 and z=−2+4 .

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Chapter 10.1, Problem 42E
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Chapter 10 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 10.1 - Prob. 1CFUCh. 10.1 - Prob. 2CFUCh. 10.1 - Prob. 3CFUCh. 10.1 - Prob. 4CFUCh. 10.1 - Prob. 5CFUCh. 10.1 - Prob. 6CFUCh. 10.1 - Prob. 7CFUCh. 10.1 - Prob. 8CFUCh. 10.1 - Prob. 9CFUCh. 10.1 - Prob. 10CFU
Ch. 10.1 - Prob. 11CFUCh. 10.1 - Prob. 12ECh. 10.1 - Prob. 13ECh. 10.1 - Prob. 14ECh. 10.1 - Prob. 15ECh. 10.1 - Prob. 16ECh. 10.1 - Prob. 17ECh. 10.1 - Prob. 18ECh. 10.1 - Prob. 19ECh. 10.1 - Prob. 20ECh. 10.1 - Prob. 21ECh. 10.1 - Prob. 22ECh. 10.1 - Prob. 23ECh. 10.1 - Prob. 24ECh. 10.1 - Prob. 25ECh. 10.1 - Prob. 26ECh. 10.1 - Prob. 27ECh. 10.1 - Prob. 28ECh. 10.1 - Prob. 29ECh. 10.1 - Prob. 30ECh. 10.1 - Prob. 31ECh. 10.1 - Prob. 32ECh. 10.1 - Prob. 33ECh. 10.1 - Prob. 34ECh. 10.1 - Prob. 35ECh. 10.1 - Prob. 36ECh. 10.1 - Prob. 37ECh. 10.1 - Prob. 38ECh. 10.1 - Prob. 39ECh. 10.1 - Prob. 40ECh. 10.1 - Prob. 41ECh. 10.1 - Prob. 42ECh. 10.1 - Prob. 43ECh. 10.1 - Prob. 44ECh. 10.2 - Prob. 1CFUCh. 10.2 - Prob. 2CFUCh. 10.2 - Prob. 3CFUCh. 10.2 - Prob. 4CFUCh. 10.2 - Prob. 5CFUCh. 10.2 - Prob. 6CFUCh. 10.2 - Prob. 7CFUCh. 10.2 - Prob. 8CFUCh. 10.2 - Prob. 9CFUCh. 10.2 - Prob. 10CFUCh. 10.2 - Prob. 11CFUCh. 10.2 - Prob. 12CFUCh. 10.2 - Prob. 13CFUCh. 10.2 - Prob. 14CFUCh. 10.2 - Prob. 15ECh. 10.2 - Prob. 16ECh. 10.2 - Prob. 17ECh. 10.2 - Prob. 18ECh. 10.2 - Prob. 19ECh. 10.2 - Prob. 20ECh. 10.2 - Prob. 21ECh. 10.2 - Prob. 22ECh. 10.2 - Prob. 23ECh. 10.2 - Prob. 24ECh. 10.2 - Prob. 25ECh. 10.2 - Prob. 26ECh. 10.2 - Prob. 27ECh. 10.2 - Prob. 28ECh. 10.2 - Prob. 29ECh. 10.2 - Prob. 30ECh. 10.2 - Prob. 31ECh. 10.2 - Prob. 32ECh. 10.2 - Prob. 33ECh. 10.2 - Prob. 34ECh. 10.2 - Prob. 35ECh. 10.2 - Prob. 36ECh. 10.2 - Prob. 37ECh. 10.2 - Prob. 38ECh. 10.2 - Prob. 39ECh. 10.2 - Prob. 40ECh. 10.2 - Prob. 41ECh. 10.2 - Prob. 42ECh. 10.2 - Prob. 43ECh. 10.2 - Prob. 44ECh. 10.2 - Prob. 45ECh. 10.2 - Prob. 46ECh. 10.2 - Prob. 47ECh. 10.2 - Prob. 48ECh. 10.2 - Prob. 49ECh. 10.2 - Prob. 50ECh. 10.2 - Prob. 51ECh. 10.2 - Prob. 52ECh. 10.2 - Prob. 53ECh. 10.2 - Prob. 54ECh. 10.2 - Prob. 55ECh. 10.2 - Prob. 56ECh. 10.2 - Prob. 57ECh. 10.2 - Prob. 58ECh. 10.3 - Prob. 1CFUCh. 10.3 - Prob. 2CFUCh. 10.3 - Prob. 3CFUCh. 10.3 - Prob. 4CFUCh. 10.3 - Prob. 5CFUCh. 10.3 - Prob. 6CFUCh. 10.3 - Prob. 7CFUCh. 10.3 - Prob. 8CFUCh. 10.3 - Prob. 9CFUCh. 10.3 - Prob. 10CFUCh. 10.3 - Prob. 11CFUCh. 10.3 - Prob. 12CFUCh. 10.3 - Prob. 13CFUCh. 10.3 - Prob. 14CFUCh. 10.3 - Prob. 15CFUCh. 10.3 - Prob. 16ECh. 10.3 - Prob. 17ECh. 10.3 - Prob. 18ECh. 10.3 - Prob. 19ECh. 10.3 - Prob. 20ECh. 10.3 - Prob. 21ECh. 10.3 - Prob. 22ECh. 10.3 - Prob. 23ECh. 10.3 - Prob. 24ECh. 10.3 - Prob. 25ECh. 10.3 - Prob. 26ECh. 10.3 - Prob. 27ECh. 10.3 - Prob. 28ECh. 10.3 - Prob. 29ECh. 10.3 - Prob. 30ECh. 10.3 - Prob. 31ECh. 10.3 - Prob. 32ECh. 10.3 - Prob. 33ECh. 10.3 - Prob. 34ECh. 10.3 - Prob. 35ECh. 10.3 - Prob. 36ECh. 10.3 - Prob. 37ECh. 10.3 - Prob. 38ECh. 10.3 - Prob. 39ECh. 10.3 - Prob. 40ECh. 10.3 - Prob. 41ECh. 10.3 - Prob. 42ECh. 10.3 - Prob. 43ECh. 10.3 - Prob. 44ECh. 10.3 - Prob. 45ECh. 10.3 - Prob. 46ECh. 10.3 - Prob. 47ECh. 10.3 - Prob. 48ECh. 10.3 - Prob. 49ECh. 10.3 - Prob. 50ECh. 10.3 - Prob. 51ECh. 10.3 - Prob. 52ECh. 10.3 - Prob. 53ECh. 10.3 - Prob. 54ECh. 10.3 - Prob. 55ECh. 10.3 - Prob. 56ECh. 10.3 - Prob. 57ECh. 10.3 - Prob. 58ECh. 10.3 - Prob. 59ECh. 10.3 - Prob. 60ECh. 10.3 - Prob. 61ECh. 10.3 - Prob. 62ECh. 10.3 - Prob. 63ECh. 10.3 - Prob. 1GCECh. 10.3 - Prob. 2GCECh. 10.3 - Prob. 3GCECh. 10.3 - Prob. 4GCECh. 10.3 - Prob. 5GCECh. 10.3 - Prob. 6GCECh. 10.3 - Prob. 7GCECh. 10.3 - Prob. 8GCECh. 10.4 - Prob. 1CFUCh. 10.4 - Prob. 2CFUCh. 10.4 - Prob. 3CFUCh. 10.4 - Prob. 4CFUCh. 10.4 - Prob. 5CFUCh. 10.4 - Prob. 6CFUCh. 10.4 - Prob. 7CFUCh. 10.4 - Prob. 8CFUCh. 10.4 - Prob. 9CFUCh. 10.4 - Prob. 10CFUCh. 10.4 - Prob. 11CFUCh. 10.4 - Prob. 12CFUCh. 10.4 - Prob. 13CFUCh. 10.4 - Prob. 14CFUCh. 10.4 - Prob. 15ECh. 10.4 - Prob. 16ECh. 10.4 - Prob. 17ECh. 10.4 - Prob. 18ECh. 10.4 - Prob. 19ECh. 10.4 - Prob. 20ECh. 10.4 - Prob. 21ECh. 10.4 - Prob. 22ECh. 10.4 - Prob. 23ECh. 10.4 - Prob. 24ECh. 10.4 - Prob. 25ECh. 10.4 - Prob. 26ECh. 10.4 - Prob. 27ECh. 10.4 - Prob. 28ECh. 10.4 - Prob. 29ECh. 10.4 - Prob. 30ECh. 10.4 - Prob. 31ECh. 10.4 - Prob. 32ECh. 10.4 - Prob. 33ECh. 10.4 - Prob. 34ECh. 10.4 - Prob. 35ECh. 10.4 - Prob. 36ECh. 10.4 - Prob. 37ECh. 10.4 - Prob. 38ECh. 10.4 - Prob. 39ECh. 10.4 - Prob. 40ECh. 10.4 - Prob. 41ECh. 10.4 - Prob. 42ECh. 10.4 - Prob. 43ECh. 10.4 - Prob. 44ECh. 10.4 - Prob. 45ECh. 10.4 - Prob. 46ECh. 10.4 - Prob. 47ECh. 10.4 - Prob. 48ECh. 10.4 - Prob. 49ECh. 10.4 - Prob. 50ECh. 10.4 - Prob. 51ECh. 10.4 - Prob. 52ECh. 10.4 - Prob. 53ECh. 10.4 - Prob. 54ECh. 10.4 - Prob. 55ECh. 10.4 - Prob. 56ECh. 10.4 - Prob. 57ECh. 10.5 - Prob. 1CFUCh. 10.5 - Prob. 2CFUCh. 10.5 - Prob. 3CFUCh. 10.5 - Prob. 4CFUCh. 10.5 - Prob. 5CFUCh. 10.5 - Prob. 6CFUCh. 10.5 - Prob. 7CFUCh. 10.5 - Prob. 8CFUCh. 10.5 - Prob. 9CFUCh. 10.5 - Prob. 10CFUCh. 10.5 - Prob. 11CFUCh. 10.5 - Prob. 12CFUCh. 10.5 - Prob. 13ECh. 10.5 - Prob. 14ECh. 10.5 - Prob. 15ECh. 10.5 - Prob. 16ECh. 10.5 - Prob. 17ECh. 10.5 - Prob. 18ECh. 10.5 - Prob. 19ECh. 10.5 - Prob. 20ECh. 10.5 - Prob. 21ECh. 10.5 - Prob. 22ECh. 10.5 - Prob. 23ECh. 10.5 - Prob. 24ECh. 10.5 - Prob. 25ECh. 10.5 - Prob. 26ECh. 10.5 - Prob. 27ECh. 10.5 - Prob. 28ECh. 10.5 - Prob. 29ECh. 10.5 - Prob. 30ECh. 10.5 - Prob. 31ECh. 10.5 - Prob. 32ECh. 10.5 - Prob. 33ECh. 10.5 - Prob. 34ECh. 10.5 - Prob. 35ECh. 10.5 - Prob. 36ECh. 10.5 - Prob. 37ECh. 10.5 - Prob. 38ECh. 10.5 - Prob. 39ECh. 10.5 - Prob. 40ECh. 10.5 - Prob. 41ECh. 10.5 - Prob. 42ECh. 10.5 - Prob. 43ECh. 10.5 - Prob. 44ECh. 10.5 - Prob. 45ECh. 10.5 - Prob. 1MCQCh. 10.5 - Prob. 2MCQCh. 10.5 - Prob. 3MCQCh. 10.5 - Prob. 4MCQCh. 10.5 - Prob. 5MCQCh. 10.5 - Prob. 6MCQCh. 10.5 - Prob. 7MCQCh. 10.5 - Prob. 8MCQCh. 10.5 - Prob. 9MCQCh. 10.5 - Prob. 10MCQCh. 10.6 - Prob. 1GCECh. 10.6 - Prob. 2GCECh. 10.6 - Prob. 3GCECh. 10.6 - Prob. 4GCECh. 10.6 - Prob. 5GCECh. 10.6 - Prob. 1CFUCh. 10.6 - Prob. 2CFUCh. 10.6 - Prob. 3CFUCh. 10.6 - Prob. 4CFUCh. 10.6 - Prob. 5CFUCh. 10.6 - Prob. 6CFUCh. 10.6 - Prob. 7CFUCh. 10.6 - Prob. 8CFUCh. 10.6 - Prob. 9CFUCh. 10.6 - Prob. 10CFUCh. 10.6 - Prob. 11CFUCh. 10.6 - Prob. 12CFUCh. 10.6 - Prob. 13ECh. 10.6 - Prob. 14ECh. 10.6 - Prob. 15ECh. 10.6 - Prob. 16ECh. 10.6 - Prob. 17ECh. 10.6 - Prob. 18ECh. 10.6 - Prob. 19ECh. 10.6 - Prob. 20ECh. 10.6 - Prob. 21ECh. 10.6 - Prob. 22ECh. 10.6 - Prob. 23ECh. 10.6 - Prob. 24ECh. 10.6 - Prob. 25ECh. 10.6 - Prob. 26ECh. 10.6 - Prob. 27ECh. 10.6 - Prob. 28ECh. 10.6 - Prob. 29ECh. 10.6 - Prob. 30ECh. 10.6 - Prob. 31ECh. 10.6 - Prob. 32ECh. 10.6 - Prob. 33ECh. 10.6 - Prob. 34ECh. 10.6 - Prob. 35ECh. 10.6 - Prob. 36ECh. 10.6 - Prob. 37ECh. 10.6 - Prob. 38ECh. 10.6 - Prob. 39ECh. 10.6 - Prob. 40ECh. 10.6 - Prob. 41ECh. 10.6 - Prob. 42ECh. 10.6 - Prob. 43ECh. 10.6 - Prob. 44ECh. 10.6 - Prob. 45ECh. 10.6 - Prob. 46ECh. 10.6 - Prob. 47ECh. 10.6 - Prob. 48ECh. 10.6 - Prob. 49ECh. 10.6 - Prob. 50ECh. 10.6 - Prob. 51ECh. 10.6 - Prob. 52ECh. 10.6 - Prob. 53ECh. 10.6 - Prob. 54ECh. 10.6 - Prob. 55ECh. 10.6 - Prob. 56ECh. 10.7 - Prob. 1CFUCh. 10.7 - Prob. 2CFUCh. 10.7 - Prob. 3CFUCh. 10.7 - Prob. 4CFUCh. 10.7 - Prob. 5CFUCh. 10.7 - Prob. 6CFUCh. 10.7 - Prob. 7CFUCh. 10.7 - Prob. 8CFUCh. 10.7 - Prob. 9CFUCh. 10.7 - Prob. 10CFUCh. 10.7 - Prob. 11CFUCh. 10.7 - Prob. 12CFUCh. 10.7 - Prob. 13ECh. 10.7 - Prob. 14ECh. 10.7 - Prob. 15ECh. 10.7 - Prob. 16ECh. 10.7 - Prob. 17ECh. 10.7 - Prob. 18ECh. 10.7 - Prob. 19ECh. 10.7 - Prob. 20ECh. 10.7 - Prob. 21ECh. 10.7 - Prob. 22ECh. 10.7 - Prob. 23ECh. 10.7 - Prob. 24ECh. 10.7 - Prob. 25ECh. 10.7 - Prob. 26ECh. 10.7 - Prob. 27ECh. 10.7 - Prob. 28ECh. 10.7 - Prob. 29ECh. 10.7 - Prob. 30ECh. 10.7 - Prob. 31ECh. 10.7 - Prob. 32ECh. 10.7 - Prob. 33ECh. 10.7 - Prob. 34ECh. 10.7 - Prob. 35ECh. 10.7 - Prob. 36ECh. 10.7 - Prob. 37ECh. 10.7 - Prob. 38ECh. 10.7 - Prob. 39ECh. 10.7 - Prob. 40ECh. 10.7 - Prob. 41ECh. 10.7 - Prob. 42ECh. 10.7 - Prob. 43ECh. 10.7 - Prob. 44ECh. 10.7 - Prob. 45ECh. 10.7 - Prob. 46ECh. 10.7 - Prob. 47ECh. 10.7 - Prob. 48ECh. 10.7 - Prob. 49ECh. 10.7 - Prob. 50ECh. 10.7 - Prob. 51ECh. 10.7 - Prob. 52ECh. 10.7 - Prob. 53ECh. 10.7 - Prob. 54ECh. 10.7 - Prob. 55ECh. 10.7 - Prob. 56ECh. 10.7 - Prob. 57ECh. 10.7 - Prob. 58ECh. 10.7 - Prob. 59ECh. 10.8 - Prob. 1CFUCh. 10.8 - Prob. 2CFUCh. 10.8 - Prob. 3CFUCh. 10.8 - Prob. 4CFUCh. 10.8 - Prob. 5CFUCh. 10.8 - Prob. 6CFUCh. 10.8 - Prob. 7CFUCh. 10.8 - Prob. 8CFUCh. 10.8 - Prob. 9CFUCh. 10.8 - Prob. 10CFUCh. 10.8 - Prob. 11CFUCh. 10.8 - Prob. 12CFUCh. 10.8 - Prob. 13ECh. 10.8 - Prob. 14ECh. 10.8 - Prob. 15ECh. 10.8 - Prob. 16ECh. 10.8 - Prob. 17ECh. 10.8 - Prob. 18ECh. 10.8 - Prob. 19ECh. 10.8 - Prob. 20ECh. 10.8 - Prob. 21ECh. 10.8 - Prob. 22ECh. 10.8 - Prob. 23ECh. 10.8 - Prob. 24ECh. 10.8 - Prob. 25ECh. 10.8 - Prob. 26ECh. 10.8 - Prob. 27ECh. 10.8 - Prob. 28ECh. 10.8 - Prob. 29ECh. 10.8 - Prob. 30ECh. 10.8 - Prob. 31ECh. 10.8 - Prob. 32ECh. 10.8 - Prob. 33ECh. 10.8 - Prob. 34ECh. 10.8 - Prob. 35ECh. 10.8 - Prob. 36ECh. 10.8 - Prob. 37ECh. 10.8 - Prob. 38ECh. 10.8 - Prob. 39ECh. 10.8 - Prob. 40ECh. 10.8 - Prob. 41ECh. 10.8 - Prob. 42ECh. 10.8 - Prob. 43ECh. 10.8 - Prob. 44ECh. 10.8 - Prob. 45ECh. 10.8 - Prob. 46ECh. 10.8 - Prob. 47ECh. 10.8 - Prob. 48ECh. 10.8 - Prob. 49ECh. 10.8 - Prob. 50ECh. 10.8B - Prob. 1GCECh. 10.8B - Prob. 2GCECh. 10.8B - Prob. 3GCECh. 10.8B - Prob. 4GCECh. 10.8B - Prob. 5GCECh. 10.8B - Prob. 6GCECh. 10 - Prob. 1SGACh. 10 - Prob. 2SGACh. 10 - Prob. 3SGACh. 10 - Prob. 4SGACh. 10 - Prob. 5SGACh. 10 - Prob. 6SGACh. 10 - Prob. 7SGACh. 10 - Prob. 8SGACh. 10 - Prob. 9SGACh. 10 - Prob. 10SGACh. 10 - Prob. 11SGACh. 10 - Prob. 12SGACh. 10 - Prob. 13SGACh. 10 - Prob. 14SGACh. 10 - Prob. 15SGACh. 10 - Prob. 16SGACh. 10 - Prob. 17SGACh. 10 - Prob. 18SGACh. 10 - Prob. 19SGACh. 10 - Prob. 20SGACh. 10 - Prob. 21SGACh. 10 - Prob. 22SGACh. 10 - Prob. 23SGACh. 10 - Prob. 24SGACh. 10 - Prob. 25SGACh. 10 - Prob. 26SGACh. 10 - Prob. 27SGACh. 10 - Prob. 28SGACh. 10 - Prob. 29SGACh. 10 - Prob. 30SGACh. 10 - Prob. 31SGACh. 10 - Prob. 32SGACh. 10 - Prob. 33SGACh. 10 - Prob. 34SGACh. 10 - Prob. 35SGACh. 10 - Prob. 36SGACh. 10 - Prob. 37SGACh. 10 - Prob. 38SGACh. 10 - Prob. 39SGACh. 10 - Prob. 40SGACh. 10 - Prob. 41SGACh. 10 - Prob. 42SGACh. 10 - Prob. 43SGACh. 10 - Prob. 44SGACh. 10 - Prob. 45SGACh. 10 - Prob. 46SGACh. 10 - Prob. 47SGACh. 10 - 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