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Quadratic Roots

Facts about quadratic roots and how they relate to the quadratic equation and the discriminant

AB
discriminant is negativeroots are imaginary
sum of the roots- b/a
product of the rootsc/a
discriminant is zeroroots are equal
discriminant is perfect squareroots are rational
discriminant is positive, non-perfect squareroots are irrational
parabola is tangent to x-axisroots are equal
parabola is above x-axisroots are imaginary
quadratic may be factoredroots are rational
quadratic formula yields complex numberroots are imaginary
parabola points downwarda is negative
parabola has 2 x interceptsroots are real


Michele E. Lloyd

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