Explanation Given Information: The provided equation is x − 1 = x − 31 . Formula used: Principle of squaring states that if two numbers, a and b are equal, then their squares are also equal, that is if a = b then a 2 = b 2 also true. To solve the square root radical equation, follow the below steps: Step1: Isolate one of the radical terms from the given equation on one side of the equation. Step2: Apply the principle of squaring. Step3: Perform the step 1 and 2 again if there remains a radical expression in the equation. Step4: Simplify the equation. Step5: Verify all the obtained solutions. To apply the principal of squaring, use the given formula: ( a − b ) 2 = a 2 − 2 a b + b 2 Calculation: Consider the equation, x − 1 = x − 31 Since, the radical term x − 31 is already present at one side of the equation, Apply the principle of squaring and use the formula ( a − b ) 2 = a 2 − 2 a b + b 2 ,, ( x − 1 ) 2 = x − 31 x − 2 x +

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ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

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Chapter 14.5, Problem 43ES

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To calculate: The value of x for the equation x−1=x−31.

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Chapter 14.5, Problem 42ES

Chapter 14.5, Problem 44ES

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Chapter 14 Solutions

Developmental Mathematics (9th Edition)

Ch. 14.1 - Prob. 1SR Ch. 14.1 - Prob. 2SR Ch. 14.1 - Prob. 1DE Ch. 14.1 - Prob. 2DE Ch. 14.1 - Prob. 3DE Ch. 14.1 - Prob. 4DE Ch. 14.1 - Prob. 5DE Ch. 14.1 - Prob. 6DE Ch. 14.1 - Prob. 7DE Ch. 14.1 - Prob. 8DE

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The value of x for the equation x − 1 = x − 31 .

Solution Summary: The author explains how to solve the square root radical equation by applying the principle of squaring.

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To calculate: The value of x for the equation x−1=x−31.

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Chapter 14 Solutions