Original Post
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[Edited by - aeleneski on April 24, 2006 11:19:37 PM]
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I found this with Google. Basically:
For ax³ + bx² + cx + d = 0:
Let p = -b/(3a), q = p³ + (bc-3ad)/(6a²), r = c/(3a), s = sqrt(q² + (r-p²)³)
A solution for x is given by: x = cbrt(q + s) + cbrt(q - s) + p
This is about 0.453398 in your example.
[edited by - Beer Hunter on September 7, 2003 8:13:30 PM]
For ax³ + bx² + cx + d = 0:
Let p = -b/(3a), q = p³ + (bc-3ad)/(6a²), r = c/(3a), s = sqrt(q² + (r-p²)³)
A solution for x is given by: x = cbrt(q + s) + cbrt(q - s) + p
This is about 0.453398 in your example.
[edited by - Beer Hunter on September 7, 2003 8:13:30 PM]
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