Explanation Given Information: The provided equation is x − 5 = 5 − x . Formula used: Principle of squaring states that if two numbers, a and b are equal, their squares are equal as well. Mathematically, If a = b then a 2 = b 2 Follow the steps to solve the problem: Step1: Isolate one of the radical terms on one side of the equation. Step2: Apply the principle of squaring. Step3: Perform steps 1 and 2 again if there remains a radical expression in the equation. Step4: Solve the equation. Step5: Verify the solutions obtained. Calculation: Consider the equation, x − 5 = 5 − x Apply the principle of squares and expand using the quadratic expansion, x − 5 = ( 5 − x ) 2 x − 5 = 25 − 10 x + x Subtract x − 5 from both side of the equation, ( x − 5 ) − ( x −

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Author: BITTINGER

Publisher: Pearson Custom Publishing

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Chapter 14.5, Problem 37ES

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

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Chapter 14.5, Problem 36ES

Chapter 14.5, Problem 38ES

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Chapter 14 Solutions

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The value of x for the equation x − 5 = 5 − x .

Solution Summary: The author explains how to calculate the value of x for the equation, which is 9.

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

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Chapter 14 Solutions