[Home]History of Quadratic equation

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Revision 3 . . June 29, 2001 10:52 pm by Gareth Owen
Revision 2 . . March 24, 2001 11:11 pm by Dick Beldin
  

Difference (from prior major revision) (no other diffs)

Changed: 2c2,11
*y = 2 + 3x + 5x2
*0 = 2 + 3x + 5x2

A quadratic equation has two roots (i.e. solutions).

The roots of quadratic equation
a x2 + b x + c = 0
whose coefficients are real numbers may be categorised as follows:
* If b2 > 4 a c the roots are real, but different.
* If b2 = 4 a c the roots are real, and equal.
* If b2 < 4 a c the roots are [complex conjugate]? pairs (i.e. one root is y + i z, the other y - i z, where i is the complex number which satisfies i2 = -1

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