Explanation Given Information: The given equation: 4 n 2 = 64 Formula used: The steps to solve the quadratic equation by factoring are, Step 1: If necessary write the equation in the form a x 2 + b x + c = 0 . Step 2: Find the factors of the polynomial. Step 3: Write each factor of the polynomial equal to zero. Step 4: Solve the equations. Step 5: Check. If two factors are multiplied and their product is 0 then write one or both factor equal to 0 that is, a b = 0 then either a = 0 or b = 0 . Calculation: Consider the give equation, 4 n 2 = 64 In order to solve the equation, write the equation in the form a x 2 + b x + c = 0 4 n 2 = 64 4 n 2 − 64 = 0 Now, find the factors of the above polynomial, 4 n 2 − 64 = 0 ( 2 n ) 2 − ( 8 ) 2 = 0 ( 2 n + 8 ) ( 2 n − 8 ) = 0 Thus, write each factor of given polynomial equal to zero, ( 2 n + 8 ) = 0 and ( 2

11th Edition

ISBN: 9781285199191

Author: Dale Ewen, C. Robert Nelson

Publisher: Cengage Learning

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Chapter 11.1, Problem 10E

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To calculate: The solution of the equation 4n2=64.

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Chapter 11.1, Problem 9E

Chapter 11.1, Problem 11E

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Chapter 11 Solutions

Elementary Technical Mathematics

Ch. 11.1 - Solve each equation: x2+x=12 Ch. 11.1 - Solve each equation: x23x+2=0 Ch. 11.1 - Solve each equation: x2+x20=0 Ch. 11.1 - Prob. 4E Ch. 11.1 - Solve each equation: x22=x Ch. 11.1 - Solve each equation: x215x=54 Ch. 11.1 - Solve each equation: x21=0 Ch. 11.1 - Solve each equation: 16n2=49 Ch. 11.1 - Solve each equation: x249=0 Ch. 11.1 - Prob. 10E

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The solution of the equation 4 n 2 = 64 .

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To calculate: The solution of the equation 4n2=64.

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Chapter 11 Solutions