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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.
 Winter '07
 Owens
 Trigonometry, Factoring, Equations

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