Explanation The given equation is 5 x + 9 + 1 = x . Isolate the radical by adding − 1 from both sides of the equation as follows. 5 x + 9 + 1 − 1 = x − 1 5 x + 9 = x − 1 Take square on both sides as follows. ( 5 x + 9 ) 2 = ( x − 1 ) 2 5 x + 9 = x 2 + 1 − 2 x 5 x + 9 − 5 x − 9 = x 2 + 1 − 2 x − 5 x − 9 x 2 − 7 x − 8 = 0 On further simplification, ( x − 8 ) ( x + 1 ) = 0 x − 8 = 0 or x + 1 = 0 x = 8 or x = − 1 Therefore, the solution of equation is x = 8 or x = − 1 . Check the solution by substituting x = 8 in 5 x + 9 + 1 = x

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ISBN: 9780134437705

Author: Washington

Publisher: PEARSON

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Chapter 14, Problem 41RE

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To solve: The equation 5x+9+1=x.

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Chapter 14, Problem 40RE

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Chapter 14 Solutions

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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 5 x + 9 + 1 = x .

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