Explanation Given Information: The provided equation is 4 + 19 − x = 6 + 4 − x . 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, 4 + 19 − x = 6 + 4 − x Subtract 4 from both the sides, 4 − 4 + 19 − x = 6 − 4 + 4 − x 19 − x = 2 + 4 − x Now, the radical term 19 − x 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 ,,, 19 − x = ( 2 + 4 − x ) 2 19 − x = 4 + 4 4 − x + 4 − x 19 − x = 8 + 4 4 − x − x Subtract 8 from both the sides of the equation and add x to both the sides of the equation in order to isolate the radical, 19 − 8 − x + x = 8 − 8 + 4 4 − x − x + x 11 = 4 4 − x Now, the radical term 4 4 − x is at one side of the equation

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ISBN: 9781323235911

Author: BITTINGER

Publisher: Pearson Custom Publishing

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Chapter 14.5, Problem 61ES

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To calculate: The value of x for the equation 4+19−x=6+4−x.

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Chapter 14.5, Problem 60ES

Chapter 14.5, Problem 62ES

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Chapter 14 Solutions

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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 4 + 19 − x = 6 + 4 − x .

Solution Summary: The author calculates the value of x for the equation 4+sqrt19-x=6+

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Chapter 14 Solutions