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 10.8, Problem 23E
To determine

To find: the point(s) of intersectionfor the graphs of given system of equations.

Expert Solution & Answer
Check Mark

Answer to Problem 23E

  (3,−1.3),(−3,1.3),(4,−1) and (−4,1)

Explanation of Solution

Given information:

  x2=25−9y2..........(1)

  xy=−4..........(2)

Calculation:

Solve equation (2) as follows:

  xy=−4x=−4y      [Divide each side by y]                                                                                        ...(3)

Substitute the value of x in equation (1) and solve y as follows:

  (−4y)2=25−9y216y2=25−9y216=−9y4+25y29y4−25y2+16=0

Let y2=t and solve y as shown below.

  9t2−25t+16=0t=−(−25)±(−25)2−4(9)(16)2(9)            [Using −b±b2−4ac2a]=25±4918=25±718t=1.77 or 1y2=1.77 or 1                                                   [Replace t by y2]y=±1.3 or ±1

Substitute each value of y in equation (3) and solve x as shown below.

  x=−4−1          [For y=−1]=4x=−41          [For y=1]=−4x=−4−1.3          [For y=−1.3]=3x=−41.3          [For y=1.3]=−3

Thus, the solutions (x,y) are (3,−1.3),(−3,1.3),(4,−1) and (−4,1) .

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Chapter 10.8, Problem 22E
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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
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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 - 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