Algebra: Structure And Method, Book 1

(REV)00 Edition

ISBN: 9780395977224

Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher: McDougal Littell

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Question

Chapter 6.6, Problem 45WE

To determine

To find:the value of C and D..

Expert Solution & Answer

Answer to Problem 45WE

The value of C and D are 4 and 2 respectively.

Explanation of Solution

Given information:

The expression Cx−2+Dx+1=6xx2−x−2.

Formula used:

Least common denominator: It is the smallest multiple of denominator of set of fractions.

Cx−2+Dx+1=6xx2−x−2

Recall that Least common denominator is the smallest multiple of denominator of set of fractions.

Least common denominator for both Cx−2,Dx+1 is (x−2)(x+1) . So,

C(x+1)+D(x−2)(x−2)(x+1)=6xx2−x−2Cx+C+Dx−2Dx2+x−2x−2=6xx2−x−2(C+D)x+(C−2D)x2−x−2=6xx2−x−2(C+D)x+(C−2D)=6x

Comparing LHS with RHS of the above equation.

C+D=6.....(Eq.1)C−2D=0.....(Eq.2)C=2D

Putting value of C in equation 1.

2D+D=63D=6D=2

Putting value of D in Equation 1.

C+2=6C=6−2C=4

The value of C and D are 4 and 2 respectively.

Chapter 6.6, Problem 44WE

Chapter 6.6, Problem 46WE

Chapter 6 Solutions

Algebra: Structure And Method, Book 1

Ch. 6.1 - Prob. 1OE Ch. 6.1 - Prob. 2OE Ch. 6.1 - Prob. 3OE Ch. 6.1 - Prob. 4OE Ch. 6.1 - Prob. 5OE Ch. 6.1 - Prob. 6OE Ch. 6.1 - Prob. 7OE Ch. 6.1 - Prob. 8OE Ch. 6.1 - Prob. 9OE Ch. 6.1 - Prob. 10OE

Ch. 6.1 - Prob. 11OE Ch. 6.1 - Prob. 12OE Ch. 6.1 - Prob. 13OE Ch. 6.1 - Prob. 14OE Ch. 6.1 - Prob. 15OE Ch. 6.1 - Prob. 16OE Ch. 6.1 - Prob. 1WE Ch. 6.1 - Prob. 2WE Ch. 6.1 - Prob. 3WE Ch. 6.1 - Prob. 4WE Ch. 6.1 - Prob. 5WE Ch. 6.1 - Prob. 6WE Ch. 6.1 - Prob. 7WE Ch. 6.1 - Prob. 8WE Ch. 6.1 - Prob. 9WE Ch. 6.1 - Prob. 10WE Ch. 6.1 - Prob. 11WE Ch. 6.1 - Prob. 12WE Ch. 6.1 - Prob. 13WE Ch. 6.1 - Prob. 14WE Ch. 6.1 - Prob. 15WE Ch. 6.1 - Prob. 16WE Ch. 6.1 - Prob. 17WE Ch. 6.1 - Prob. 18WE Ch. 6.1 - Prob. 19WE Ch. 6.1 - Prob. 20WE Ch. 6.1 - Prob. 21WE Ch. 6.1 - Prob. 22WE Ch. 6.1 - Prob. 23WE Ch. 6.1 - Prob. 24WE Ch. 6.1 - Prob. 25WE Ch. 6.1 - Prob. 26WE Ch. 6.1 - Prob. 27WE Ch. 6.1 - Prob. 28WE Ch. 6.1 - Prob. 29WE Ch. 6.1 - Prob. 30WE Ch. 6.1 - Prob. 31WE Ch. 6.1 - Prob. 32WE Ch. 6.1 - Prob. 33WE Ch. 6.1 - Prob. 34WE Ch. 6.1 - Prob. 35WE Ch. 6.1 - Prob. 36WE Ch. 6.1 - Prob. 37WE Ch. 6.1 - Prob. 38WE Ch. 6.1 - Prob. 39WE Ch. 6.1 - Prob. 40WE Ch. 6.1 - Prob. 41WE Ch. 6.1 - Prob. 42WE Ch. 6.1 - 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