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##### Quadratic Formula

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**Solve by Completing the Square**ax2 + bx + c = 0 a The Quadratic Formula**Solve using the Quadratic Formula**6x2 + 9x + 2 = 0 a = 6 b = 9 c = 2 X = -0.27 X = -1.23**Solve using the Quadratic Formula**x2 + 6x + 9 = 0 a = 1 b = 6 c = 9**Solve using the Quadratic Formula**3x2 + 7x = -5 3x2 + 7x +5 =0 a = 3 b = 7 c = 5 NO Solutions**Why do some quadratic equations have 2 real solutionssome**have 1 real solution and some have no solutions?**Now Consider…**ax2 + bx + c = 0 Discriminant 89 0 -11 If discriminant > 0, then 2 real solutions If discriminant = 0, then 1 real solution If discriminant < 0, then no solutions**That's**All Folks Jeff Bivin -- LZHS