1-6 - 1­6 November 18, 2010 1­6 Solving Quadratic...

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Unformatted text preview: 1­6 November 18, 2010 1­6 Solving Quadratic Equations ax2 + bx +c = 0 quadratic form Three methods to solve quadratic equations for roots/solutions 1. Factoring 2. Completing the square 3. Quadratic formula Sep 9­9:17 AM Ex. x2 ­ x ­ 12 = 0 Factor Complete the square 1. make sure coefficient of x2 is 1 2. take constant to the right 3. complete the square i. take 1/2 of middle term ii. square it iii. add it to both sides Sep 9­9:21 AM 1 1­6 November 18, 2010 Ex. x2 ­ x ­ 12 = 0 Quadratic formula Sep 10­9:01 AM Exs. Factor 1. 3x2 ­ 4x ­ 7 = 0 2. (2x ­ 3)(x + 4) = 6 Sep 10­9:04 AM 2 1­6 November 18, 2010 Exs. Complete the square 1. x2 ­ 10x = 1575 2. 2x2 ­ 16x ­ 1768 = 0 3. x2 + 6x + 10 = 0 Sep 10­9:05 AM Exs. Quadratic formula 1. 5x2 + 2x ­ 1 = 0 2. 3x2 = 12x ­ 15 3. 4/x = (x ­ 6)/(x ­ 4) Sep 10­9:07 AM 3 1­6 November 18, 2010 h.w. p. 35 2­16 evens p. 35 17­31 odds extra credit p. 36 37­42 Sep 10­9:09 AM 4 ...
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This note was uploaded on 04/22/2011 for the course MATH 212 taught by Professor Owens during the Winter '07 term at Grand Valley State University.

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