March 12 Discriminant

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The Discriminant

Transcript of March 12 Discriminant

Page 1: March 12 Discriminant

The Discriminant

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4x2 + 3x + 8 = 0What are the roots?

x = -b ± b2 - 4ac2a

x = -3 ± 32 - 4(4)(8)2(4)

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x = -3 ± 32 - 4(4)(8)2(4)

x = -3 ± -1198

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x = -b ± b2 - 4ac2a

Discriminant

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is negative = no roots

is positive = 2 roots

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What happens when the discriminant is 0?

= 0

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2x2 - 4x + 2 = 0

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is 0 = 1 root

is negative = no roots

is positive = 2 roots

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