Explanation Given: 2 x 2 3 − 7 x 1 3 − 4 = 0 Calculation: Consider the following expression: 2 x 2 3 − 7 x 1 3 − 4 = 0 …...…... (1) Assume y = x 1 3 . Thus, the above expression written as follows: 2 y 2 − 7 y − 4 = 0 Factor and solve: 2 y 2 − 8 y + y − 4 = 0 2 y ( y − 4 ) + 1 ( y − 4 ) = 0 ( 2 y + 1 ) ( y − 4 ) = 0 Solve for ( 2 y + 1 ) = 0 . 2 y = − 1 y = − 1 2 Now, replace y = x 1 3 . x 1 3 = − 1 2 x = ( − 1 2 ) 3 x = − 1 8 And, solve for ( y − 4 ) = 0 y = 4 Now, replace y = x 1 3

8th Edition

ISBN: 9780134178967

Author: John Tobey Jr., Jeffrey Slater, Jamie Blair, Jenny Crawford

Publisher: PEARSON

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Chapter 8.3, Problem 18E

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To calculate: The real roots of the following expression, 2x23−7x13−4=0.

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Chapter 8.3, Problem 17E

Chapter 8.3, Problem 19E

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Chapter 8 Solutions

Intermediate Algebra (8th Edition)

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The real roots of the following expression, 2 x 2 3 − 7 x 1 3 − 4 = 0 .

Solution Summary: The author explains how to calculate the real roots of the expression 2x23-7

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To calculate: The real roots of the following expression, 2x23−7x13−4=0.

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Chapter 8 Solutions