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The Discriminant
4x2 + 3x + 8 = 0What are the roots?
x = -b ± b2 - 4ac2a
x = -3 ± 32 - 4(4)(8)2(4)
x = -3 ± 32 - 4(4)(8)2(4)
x = -3 ± -1198
x = -b ± b2 - 4ac2a
Discriminant
is negative = no roots
is positive = 2 roots
What happens when the discriminant is 0?
= 0
2x2 - 4x + 2 = 0
is 0 = 1 root
is negative = no roots
is positive = 2 roots