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Discriminant Recall the quadratic formula: x = -b ±√ b2 - 4ac 2a.

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Presentation on theme: "Discriminant Recall the quadratic formula: x = -b ±√ b2 - 4ac 2a."— Presentation transcript:

1 Discriminant Recall the quadratic formula: x = -b ±√ b2 - 4ac 2a

2 Review from yesterday... Solve: 1. 0 = x2 + 2x - 22. x2 + 2x + 1 = 0

3 Discriminant: b2 - 4ac * used to determine the number of solutions of a quadratic equation If the discriminant is: zero: 1 solution negative: no real solutions positive: 2 solutions (note...if it is a perfect square...it is factorable)

4 Find the value of the discriminant and tell how many solutions each quadratic equation will have. ex 1: -3x2 + 5x = 1

5 ex 3: x2 = -10x - 25 ex 2: x2 - 2x = -4

6 ex 4: Find the number of x-intercepts of the graph of the following quadratic equation: y = x2 + 6x + 3

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