Discriminant: Difference between revisions
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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]]. | |||
== Other resources == | |||
* [http://en.wikipedia.org/wiki/Discriminant Wikipedia entry] | |||
Revision as of 01:46, 18 June 2006
The discriminant of a Quadratic Equation of the form
is the quantity 
. When 
, 
, and 
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.
