Discriminants

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The value of the answer after solving b^2-4(a)(c) determines how many answers you will get as well as if they are rational, irrational, or imaginary.

Algebra

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1

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d > 0 (perfect square)

2 real rational

2

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d > 0 (not a perfect square)

2 real irrational

3

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d = 0

1 real rational

4

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d < 0

2 imaginary