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**Quadratic Formula & Discriminant**

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**It’s called finding the discriminant.**

There is a way to tell how many solutions/roots an equation will have. It’s called finding the discriminant. The discriminant is a small part of the quadratic formula.

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**Put in standard form first!**

If the answer is POSITIVE, then you will have 2 real roots. If the answer is ZERO, then you will have 1 real root. If the answer is NEGATIVE, then you will have 2 imaginary roots. Put in standard form first!

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**Determine the number of roots. Example: 1**

2 Imaginary Roots

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**Determine the number of roots. Example: 2**

1 Real Root

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**Determine the number of roots. Example: 3**

2 Real Roots

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Quadratic Formula Everything must be on the same side of the equals sign before solving and a is positive.

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1st Ex: 1 Solve x2 + 9x + 14 = 0 a = 1 b = 9 c = 14 2nd

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Ex: 2 Solve x2 + x = 1 a = 1 b = 1 c = -1

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Ex: 3 Solve -2x2 = -2x + 3 a = 2 b = -2 c = 3

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Class Work SPW 222 “What do you call it when somebody spends 20 years in the 24th row of a theater?”

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Homework p. 93 #1 – 10, 15, 16

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