Discriminant Notes

# Topredictwhenthepumpkinwillhitthetargetyoucansolve

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Unformatted text preview: h = ­4.9t2 + 117t + 42 where h is the height of the pumpkin and t is the number of seconds. To predict when the pumpkin will hit the target, you can solve the equation by putting in 0 for h. *Quadratic Formula = Method used to solve any quadratic equation. How to derive the Quadratic Formula..... ax2 + bx + c = 0 *Discriminant = The number under the radical in the Quadratic Formula. How to get the Discriminant b2 ­ 4ac Three Types of Discriminants 1) Positive ­­> 2 Real Roots 2) Negative ­­> 2 Complex Roots 3) Zero ­­> 1 Real Root Algebra II 2 Chp. 5.6 ­ Quadratic Formula and Discriminant March 12, 2013 Examples: Ex. 1 ­ Solve by using the Quadratic Formula. a) x2 + 6x = 16 b) 2x2 + 25x + 33 = 0 c) x2 ­ 16x + 64 = 0 d) x2 + 34x = ­289 e) 3x2 + 5x + 1 = 0 f) x2 ­ 8x + 9 = 0 g) 3x2 + 5x + 4 = 0 h) x2 ­ 4x = ­13 Ex. 2 ­ Find the value of the discriminant then state how many and what type of root. a) 7x2 ­ 11x + 5 = 0 b) ­7x + 15x2 = 4 c) x2 + 22x + 121 = 0 Algebra II 3 Chp. 5.6 ­ Quadratic Formula and Discriminant March 12, 2013 Homework: p. 298 (#14­18 Evens, 22­32 Evens, 43, 50­52) Algebra II 4...
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## This document was uploaded on 03/13/2014 for the course MATH Algebra 2 at Arlington Local High School.

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