Math 2b - Quadratic Formula + Discriminants + Imaginary numbers

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12 Terms

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-b ± √b² - 4ac / 2a

Quadratic Formula

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Vertex Form

y = a(x - h)+ k

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Standard Form

y = ax² + bx + c

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Factored Form

y = a(x - r1)(x - r2)

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i = __

√-1

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i² = __

-1

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i³ = __

-i

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i⁴= __

1

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Discriminant (Part of quadratic formula)

b² - 4ac

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What happens when the discriminant is 0?

1 real root

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What happens when the discriminant is bigger than 0?

2 real roots

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What happens when the discriminant is less than 0?

2 complex roots / 0 real roots