Explanation Consider the statement, The principle of squaring, if a = b , then, a 2 = b 2 For example, consider the equation, x 2 + 7 − x + 2 = 0 …… (1) Subtract − x + 2 from both sides, x 2 + 7 + ( − x + 2 ) − ( − x + 2 ) = 0 − ( − x + 2 ) x 2 + 7 = x − 2 Apply the principle of squaring, and, simplify using ( a − b ) 2 = a 2 + b 2 − 2 a b , ( x 2 + 7 ) 2 = ( x − 2 ) 2 x 2 + 2 2 − 2 ⋅ 2 ⋅ x = x 2 + 7 x 2 − 4 x + 4 = x 2 + 7 Subtract x 2 + 7 from both sides, ( x 2 + 4 ) − ( x 2 + 4 ) − 4 x = ( x 2 + 7 ) − ( x 2 + 4

Elementary Algebra: Concepts and Applications (10th Edition)

10th Edition

ISBN: 9780134441375

Author: Marvin L. Bittinger, David J. Ellenbogen, Barbara L. Johnson

Publisher: PEARSON

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Chapter 8 Solutions

Elementary Algebra: Concepts and Applications (10th Edition)

Ch. 8.1 - Find the square roots of 81.Ch. 8.1 - Prob. 2YT Ch. 8.1 - Prob. 3YT Ch. 8.1 - Prob. 4YT Ch. 8.1 - Prob. 5YT Ch. 8.1 - Prob. 6YT Ch. 8.1 - Prob. 7YT Ch. 8.1 - Prob. 8YT Ch. 8.1 - Prob. 1CYU Ch. 8.1 - Prob. 2CYU

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Whether the statement, ‘The principle of squaring does not always lead to a solution’ is true or false.

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