Discriminant: Difference between revisions

Revision as of 00:51, 18 June 2006

The discriminant of a Quadratic Equation of the form $ax^2+bx+c=0$ is the quantity $b^2-4ac$ . When $a$ , $b$ , and $c$ are real, this is a notable quantity, because if the Discriminant is positive, the equation has two real roots; if the discriminant is negative, the equation has two non-real roots; and if the discriminant is 0, the equation has a real double root.

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-The Discriminant of a [[Quadratic Equations | Quadratic Equation]] of the form <math>ax^2+bx+c=0</math> is the quantity <math>b^2-4ac</math>.  When <math>a</math>, <math>b</math>, and <math>c</math> are real, this is a notable quantity, because if the Discriminant is positive, the equation has two real [[Roots | roots]]; if the discriminant is negative, the equation has two non-real roots; and if the discriminant is 0, the equation has a real [[Double Root | double root]].
+The '''discriminant''' of a [[Quadratic Equations | Quadratic Equation]] of the form <math>ax^2+bx+c=0</math> is the quantity <math>b^2-4ac</math>.  When <math>a</math>, <math>b</math>, and <math>c</math> are real, this is a notable quantity, because if the Discriminant is positive, the equation has two real [[Roots | roots]]; if the discriminant is negative, the equation has two non-real roots; and if the discriminant is 0, the equation has a real [[Double Root | double root]].
-== Also See: ==
-[[Complex Numbers]]

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Discriminant: Difference between revisions

Revision as of 00:51, 18 June 2006