Holt Mcdougal Larson Algebra 2: Student Edition 2012

1st Edition

ISBN: 9780547647159

Author: HOLT MCDOUGAL

Publisher: HOLT MCDOUGAL

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Expert Solution & Answer

Chapter 3.6, Problem 42E

Solution

To calculate: The value of x for the equation 8x3−13=2x−1 and also check the extraneous solution.

The resultant answer is s x=12 and x=0 .

Given information:

The equation is 8x3−13=2x−1 .

Formula used:

Raise each side of the equation to the same power.

Calculation:

Write the original equation:

8x3−13=2x−1

Raise each side of the equation to the power 3 and simplify,

8x3−133=2x−138x3−1=8x3−12x2+6x−18x3−1−8x3+1=−12x2+6x0=−12x2+6x0=−6x2x−10=6x2x−1

Now apply zero-product property,

6x=0 or 2x−1=0x=0 or x=12

Now check x=12 or 0 in the original equation.

8x3−13=2x−1

Now substitute 12 for x and simplify,

8123−13=?212−1818−13=?1−11−13=?1−10=?00=0

Now substitute 0 for x and simplify,

803−13=?20−10−13=?0−1−13=?−1−1=−1

Therefore, the solution are 12 and 0 .

Chapter 3.6, Problem 41E

Chapter 3.6, Problem 43E

Chapter 3 Solutions

Holt Mcdougal Larson Algebra 2: Student Edition 2012

Ch. 3.1 - Prob. 1GP Ch. 3.1 - Prob. 2GP Ch. 3.1 - Prob. 3GP Ch. 3.1 - Prob. 4GP Ch. 3.1 - Prob. 5GP Ch. 3.1 - Prob. 6GP Ch. 3.1 - Prob. 7GP Ch. 3.1 - Prob. 8GP Ch. 3.1 - Prob. 9GP Ch. 3.1 - Prob. 10GP

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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Chapter 3 Solutions