Precalc0011to0016-page4

Precalc0011to0016-page4 - a factor is 0. Example 3 (Using...

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(Section 0.11: Solving Equations) 0.11.4 “+” case : ± ” case: x = 7 + 13 4 = 20 4 = 5 x = 7 ± 13 4 = ± 6 4 = ± 3 2 The solution set is: ± 3 2 ,5 ² ³ ´ µ · . (Some instructors list solutions in increasing order, although solution sets are technically unordered.) § The Factoring Method for solving equations relies on the following Zero Factor Property . Zero Factor Property (or Zero Product Property) If a and b represent real quantities, then: ab = 0 ± a = 0 or b = 0 () . • Essentially, a product is 0
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Unformatted text preview: a factor is 0. Example 3 (Using the Factoring Method; Revisiting Example 2) Solve 2 x 2 7 x = 15 using the Factoring Method. Solution WARNING 6 : Again, we must first isolate 0 on one side. 2 x 2 7 x = 15 2 x 2 7 x 15 = 2 x + 3 ( ) x 5 ( ) = By the Zero Factor Property , 2 x + 3 = x = 3 2 or x 5 = x = 5 Again, the solution set is: 3 2 , 5 ....
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