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what is the discriminant
b2 - 4ac
indicates how many solutions a quadratic will have
two real roots
discriminant greater than 0
one real root
discriminant equal to 0
how else can they describe one real root
a repeating root, two equal roots, etc
no real roots
discriminant less than 0
possible limitations of a quadratic model
has either maximum or minimum but not both
graphs are symmetrical (what goes up comes down or vice versa)