Explanation The given equation is x − 1 + 7 = x . Isolate the radical by subtracting 7 from both sides of the equation as follows. x − 1 + 7 − 7 = x − 7 x − 1 = x − 7 Take square on both sides as follows. ( x − 1 ) 2 = ( x − 7 ) 2 x − 1 = x 2 + 49 − 14 x x 2 − 15 x + 50 = 0 x 2 − 10 x − 5 x + 50 = 0 On further simplification, x ( x − 10 ) − 5 ( x − 10 ) = 0 ( x − 10 ) ( x − 5 ) = 0 x − 10 = 0 or x − 5 = 0 x = 10 or x = 5 Therefore, the solution of equation is x = 10 and x = 5

Basic Technical Mathematics with Calculus (11th Edition)

11th Edition

ISBN: 9780134437736

Author: Allyn J. Washington, Richard Evans

Publisher: PEARSON

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Chapter 14.4, Problem 3E

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Chapter 14.4, Problem 2E

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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 equation x − 1 + 7 = x .

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Chapter 14 Solutions