IA_GPS_40

# IA_GPS_40 - < then we’ll have two complex solutions 1...

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R0907 a.s. http://faculty.valenciacc.edu/ashaw/ INTERMEDIATE ALGEBRA GPS # 40 8.4 THE QUADRATIC FORMULA NAME: Useful Guidelines: The solutions of 2 0( 0) ax bx c a + + = ! are given by 2 4 . 2 b b ac x a ! ± ! = “Quadratic Formula” If a , b , and c are integers, then the number and type of solutions can be predicted as follows: * If the discriminant 2 4 0 b ac ! > , then we’ll have two real solutions. * If the discriminant 2 4 0 b ac ! = , then we’ll have only one real solution. * If the discriminant 2 4 0 b ac
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Unformatted text preview: ! < , then we’ll have two complex solutions. 1. Solve each equation using the quadratic formula and give the solution set. a) 2 12 x x ! ! = b) 2 6 8 y y ! ! = c) 3 3 2 2 = + ! x x d) 2 5 4 2 = + ! x x 2. Use the discriminant to predict whether the solutions to each equation are A. one real solution ; B. two real solutions ; C. two complex solutions . a) 2 5 4 x x + + = b) 2 2 4 2 x x ! + = c) 2 5 3 7 x x ! + = d) 2 3 1 x x + ! =...
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