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Image:American Goldfinch (small illustration).jpg

Illustration of American Goldfinch, by Louis Agassiz Fuertes, 1897. Scanned from 1907 edition of Citizen Bird[?]. (Small version)

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Quadratic formula

... means that the parabola intersects the x-axis in two points.) If the discriminant is negative, then there are two different solutions x, both of which are complex numbers. ...