Explanation The given equation is, ( x + 1 ) 4 − 54 = 3 ( x + 1 ) 2 ( x + 1 ) 4 − 3 ( x + 1 ) 2 − 54 = 0 Solve the equation algebraically as follows. Use the following substitution to solve the equation. Let y = ( x + 1 ) 2 ∴ y 2 = ( x + 1 ) 4 Substitute y in the given equation and solve as follows. y 2 − 3 y − 54 = 0 y 2 − 9 y + 6 y − 54 = 0 y ( y − 9 ) + 6 ( y − 9 ) = 0 ( y − 9 ) ( y + 6 ) = 0 Therefore, the solution obtained is, ( y − 9 ) ( y + 6 ) = 0 y = 9

Basic Technical Mathematics with Calculus (11th Edition)

11th Edition

ISBN: 9780134437736

Author: Allyn J. Washington, Richard Evans

Publisher: PEARSON

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Chapter 14, Problem 50RE

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The solution of the equation, (x+1)4−54=3(x+1)2 algebraically and to check the solution using a calculator.

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Chapter 14, Problem 49RE

Chapter 14, Problem 51RE

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Chapter 14 Solutions

Basic Technical Mathematics with Calculus (11th Edition)

Ch. 14.1 - In Example 7, determine how many times the rocket...Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E Ch. 14.1 - Prob. 5E Ch. 14.1 - Prob. 6E Ch. 14.1 - Prob. 7E Ch. 14.1 - Prob. 8E Ch. 14.1 - Prob. 9E

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The solution of the equation, ( x + 1 ) 4 − 54 = 3 ( x + 1 ) 2 algebraically and to check the solution using a calculator.

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The solution of the equation, (x+1)4−54=3(x+1)2 algebraically and to check the solution using a calculator.

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Chapter 14 Solutions