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Casio FX-115MS bug
11-08-2018, 02:51 PM (This post was last modified: 11-08-2018 04:49 PM by Albert Chan.)
Post: #10
RE: Casio FX-115MS bug
Solving roots reciprocal, with coefficients in reversed order :

X³ + 11 X - 1000100 = 0

Let x = 100/X, above turns to -1.0001 x³ + 0.0011 x² + 1 = 0
Cubic Solver get x = 1.000333299, X = 100/x = 99.96668121

Doing the same for Y=X-100, y=1/Y, solved X is even better:
Y³ + 300 Y² + 30011 Y + 1000 = 0 => 1000 y³ + 30011 y² + 300 y + 1 = 0
Cubic Solver get y = -30.00100144, X = 100 + 1/y = 99.96666778

Of course, since Y ~ 0, we could just iterate Y = (Y³ + 300 Y² + 1000) ÷ -30011
We have Y = 0 -> -0.033321115 -> -0.033332213 -> -0.03333222 (converged)
X = 100 + Y = 99.96666778
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Messages In This Thread
Casio FX-115MS bug - Albert Chan - 10-31-2018, 07:02 PM
RE: Casio FX-115MS bug - klesl - 11-01-2018, 11:14 AM
RE: Casio FX-115MS bug - ijabbott - 11-01-2018, 08:16 PM
RE: Casio FX-115MS bug - G. Cook - 11-02-2018, 09:14 PM
RE: Casio FX-115MS bug - Albert Chan - 11-03-2018, 02:41 PM
RE: Casio FX-115MS bug - Albert Chan - 11-05-2018, 08:58 PM
RE: Casio FX-115MS bug - Albert Chan - 11-07-2018, 08:15 PM
RE: Casio FX-115MS bug - Albert Chan - 11-07-2018, 10:47 PM
RE: Casio FX-115MS bug - Albert Chan - 11-08-2018, 04:17 PM
RE: Casio FX-115MS bug - Albert Chan - 11-24-2018, 07:25 PM
RE: Casio FX-115MS bug - ijabbott - 11-24-2018, 08:28 PM
RE: Casio FX-115MS bug - klesl - 11-07-2018, 08:33 PM
RE: Casio FX-115MS bug - Albert Chan - 11-08-2018 02:51 PM
RE: Casio FX-115MS bug - brickviking - 11-28-2018, 01:01 AM



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