CA_GPS_14 - a) 2 12 x x ! ! = b) 3 3 2 2 = + ! x x 2. Use...

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Rev. S08 http://faculty.valenciacc.edu/ashaw/ COLLEGE ALGEBRA NAME: ________________________________ GPS # 14 2.2 SOLVING QUADRATIC EQUATIONS II Class Time: ____________ Date: __________ 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 ! < , then we’ll have two complex solutions. 1. Solve each equation using the quadratic formula and give the solution set.
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Unformatted text preview: a) 2 12 x x ! ! = b) 3 3 2 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 + ! = 3. If a ball is thrown upward at 32 feet per second from a height of 6 feet, the height of the ball can be modeled by 2 8 32 6 ) ( t t t S ! + = feet, where t is the number of seconds after the ball is thrown. How long after the ball is thrown is the height 36 feet?...
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