Explanation Given Information: The provided equation is x − 4 + x + 1 = 5 . 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 − 4 + x + 1 = 5 Subtract x + 1 from both the sides of the equation, x − 4 + x + 1 − x + 1 = 5 − x + 1 x − 4 = 5 − x + 1 Now, the radical term x − 4 is 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 − 4 = ( 5 − x + 1 ) 2 x − 4 = 25 − 10 x + 1 + x + 1 x − 4 = x − 10 x + 1 + 26 Sub

9th Edition

ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

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Chapter 14.5, Problem 41ES

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To calculate: The value of x for the equation x−4+x+1=5.

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Chapter 14.5, Problem 40ES

Chapter 14.5, Problem 42ES

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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 − 4 + x + 1 = 5 .

Solution Summary: The author explains the principle of squaring, which states that if two numbers are equal, then their squares are also equal.

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To calculate: The value of x for the equation x−4+x+1=5.

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Chapter 14 Solutions