Holt Mcdougal Larson Algebra 2: Student Edition 2012

1st Edition

ISBN: 9780547647159

Author: HOLT MCDOUGAL

Publisher: HOLT MCDOUGAL

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

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Expert Solution & Answer

Chapter 3.6, Problem 10Q

Solution

To calculate: The value of x for the equation x−3=10x−54 and also check for the extraneous solution.

The required answer are x=7 and x=9 .

Given information:

The equation is x−3=10x−54 .

Formula used:

Raise each side of the equation to the same power.

Calculation:

Write the original equation:

x−3=10x−54

Square each side of the equation and simplify,

x−32=10x−542x2−6x+9=10x−54x2−6x−10x+9+54=0x2−16x+63=0

Divide the equation into factors,

x2−9x−7x+63=0xx−9−7x−9=0x−7x−9=0x=7,9

Now check x=7 or x=9 in the original equation.

x−3=10x−54

Now substitute 7 for x and simplify,

7−3=?10⋅7−544=?70−544=?164=4

Now substitute 9 for x and simplify,

9−3=?10⋅9−546=?90−546=?366=6

Chapter 3.6, Problem 9Q

Chapter 3.6, Problem 11Q

Chapter 3 Solutions

Holt Mcdougal Larson Algebra 2: Student Edition 2012

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Ch. 3.1 - Prob. 11GP Ch. 3.1 - Prob. 12GP Ch. 3.1 - Prob. 13GP Ch. 3.1 - Prob. 14GP Ch. 3.1 - Prob. 15GP Ch. 3.1 - Prob. 16GP Ch. 3.1 - Prob. 17GP Ch. 3.1 - Prob. 18GP Ch. 3.1 - Prob. 19GP Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E Ch. 3.1 - Prob. 11E Ch. 3.1 - Prob. 12E Ch. 3.1 - Prob. 13E Ch. 3.1 - Prob. 14E Ch. 3.1 - Prob. 15E Ch. 3.1 - Prob. 16E Ch. 3.1 - Prob. 17E Ch. 3.1 - Prob. 18E Ch. 3.1 - Prob. 19E Ch. 3.1 - Prob. 20E Ch. 3.1 - Prob. 21E Ch. 3.1 - Prob. 22E Ch. 3.1 - Prob. 23E Ch. 3.1 - Prob. 24E Ch. 3.1 - Prob. 25E Ch. 3.1 - Prob. 26E Ch. 3.1 - Prob. 27E Ch. 3.1 - Prob. 28E Ch. 3.1 - Prob. 29E Ch. 3.1 - Prob. 30E Ch. 3.1 - Prob. 31E Ch. 3.1 - Prob. 32E Ch. 3.1 - Prob. 33E Ch. 3.1 - Prob. 34E Ch. 3.1 - Prob. 35E Ch. 3.1 - Prob. 36E Ch. 3.1 - Prob. 37E Ch. 3.1 - Prob. 38E Ch. 3.1 - Prob. 39E Ch. 3.1 - Prob. 40E Ch. 3.1 - Prob. 41E Ch. 3.1 - 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Solution Summary: The author explains how to calculate the value of x for the equation, and check for extraneous solutions.

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Chapter 3 Solutions