5 11 8 3 11 0 0 substitute for x 0 simplify 0 solution

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Unformatted text preview: ing Guide 169 M2ng_nt.07 9/28/04 11:43 AM Page 170 Your Notes An Equation with an Extraneous Solution Example 5 Solve x 2 x. 2 x x 2)2 (x Write original equation. ( x)2 Square each side. x2 4x 4 x Expand left side, simplify right. x2 5x 4 0 Write in standard form. 4) 0 Factor. (x 1)(x (x 1) x 1 or x 0 or (x 0 Zero product property 4 Simplify. 1 and x Check x 4) 4 in the original equation. x 2 x Write original equation. x 2 x 1 2 1 Substitute for x. 4 2 4 1 1 2 Simplify. 2 5x 2 The only solution is 2 . Checkpoint Solve the equation. 1. 3 7 x 2. 7x1/3 5 8 3. 8 5x 1 6 10 6 12 170 13 4. x 2 no solution Homework 5. x 14 Algebra 2 Notetaking Guide • Chapter 7 3x 0...
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This document was uploaded on 03/12/2014 for the course ALGEBRA RMHS Algeb at Richard Montgomery High.

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