CALCULUS Understanding
Its Concepts and Methods
Discriminant
The discriminant of the polynomial expression
is the number
The type of curve determined by the quadratic equation depends on the sign of
the discriminant. In nondegenerate cases, the quadratic equation gives
where
a circle is considered as a special case of an ellipse. The degenerate cases
give a pair of lines, a line, or a point, or they have imaginary solutions.
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Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.