To determine To calculate: The value of x for the equation x 2 − 6 x − 4 = x Explanation Given Information: The provided equation is x 2 − 6 x − 4 = x . Formula used: Follow the steps to solve the problem: Step1: Rewrite the equation in such a way that the radical containing a variable is isolated on one side of the equation. Step2: Raise both the sides of the equation to a power equal to the index of the radical containing the variable. Step3: Bring all the like terms together. Step4: If the radicands are not completely eliminated from the equation, repeat steps 1 through 3 . Step5: Evaluate the equation obtained for the variable. Step6: Verify to see if the solution obtained satisfies the equation. The following property of radicals is used: ( a n ) m = a m n Where, m is the power and n is the index. The following expansion formula is used: ( a + b ) 2 = a 2 + 2 a b + b 2 Calculation: Consider the provided equation, x 2 − 6 x − 4 = x , Square both the sides, ( x 2 − 6 x − 4 ) 2 = ( x ) 2 x 2 − 6 x − 4 = x 2 x 2 − x 2 − 6 x − 4 = 0 − 6 x − 4 = 0 Further simplify,

Intermediate Algebra For College Students (10th Edition)

10th Edition

ISBN: 9780134758992

Author: Allen R. Angel, Dennis Runde

Publisher: PEARSON

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Chapter 8.2, Problem 116ES

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To calculate: The value of x for the equation x2−6x−4=x

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Chapter 8.2, Problem 115ES

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Chapter 8 Solutions

Intermediate Algebra For College Students (10th Edition)

Ch. 8.1 - Fill in the blanks with the appropriate word,...Ch. 8.1 - Fill in the blanks with the appropriate word,...Ch. 8.1 - Prob. 3ES Ch. 8.1 - Prob. 4ES Ch. 8.1 - Fill in the blanks with the appropriate word,...Ch. 8.1 - Prob. 6ES Ch. 8.1 - Prob. 7ES Ch. 8.1 - Prob. 8ES Ch. 8.1 - Prob. 9ES Ch. 8.1 - Prob. 10ES

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