TI-BASIC:Cubic Formula - Revision history

Maintenance script: Automated superscript correction

2016-02-24T22:25:01Z

Automated superscript correction

← Older revision		Revision as of 22:25, 24 February 2016
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	\|picture=		\|picture=
	\|summary=Solves for the complex roots of a cubic equation.		\|summary=Solves for the complex roots of a cubic equation.
	\|input=''A, B, C, D'' - the constants in Ax^^3^^+Bx^^2^^+Cx+D=0		\|input=''A, B, C, D'' - the constants in Ax<sup>3</sup>+Bx<sup>2</sup>+Cx+D=0
	\|output=The three roots (or repeated roots)		\|output=The three roots (or repeated roots)
	\|variable=A, B, C, D, M, N, O, P, Q, R, U, V, W		\|variable=A, B, C, D, M, N, O, P, Q, R, U, V, W

Maintenance script: Automated @@ correction

2016-02-24T22:11:40Z

Automated @@ correction

← Older revision		Revision as of 22:11, 24 February 2016
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	{{Template:TI-BASIC:Routine		{{Template:TI-BASIC:Routine
	\|picture=@@		\|picture=
	\|summary=Solves for the complex roots of a cubic equation.		\|summary=Solves for the complex roots of a cubic equation.
	\|input=''A, B, C, D'' - the constants in Ax^^3^^+Bx^^2^^+Cx+D=0		\|input=''A, B, C, D'' - the constants in Ax^^3^^+Bx^^2^^+Cx+D=0
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	\|author=theFlyingDutchman		\|author=theFlyingDutchman
	\|url=http://www.unitedti.org/index.php?showtopic=7392&view=findpost&p=116156 United TI		\|url=http://www.unitedti.org/index.php?showtopic=7392&view=findpost&p=116156 United TI
	\|authors=@@		\|authors=
	\|download=[file cubicformula.zip]		\|download=[file cubicformula.zip]
	}}		}}

Maintenance script: Initial automated import

2016-02-24T18:29:42Z

Initial automated import

New page

{{Template:TI-BASIC:Routine
|picture=@@
|summary=Solves for the complex roots of a cubic equation.
|input=''A, B, C, D'' - the constants in Ax^^3^^+Bx^^2^^+Cx+D=0
|output=The three roots (or repeated roots)
|variable=A, B, C, D, M, N, O, P, Q, R, U, V, W
|compatibility=TI-83/84/+/SE
|author=theFlyingDutchman
|url=http://www.unitedti.org/index.php?showtopic=7392&view=findpost&p=116156 United TI
|authors=@@
|download=[file cubicformula.zip]
}}

ClrHome
Disp "AX³+BX²+CX+D=0
Prompt A,B,C,D
√((2B³-9ABC+27A²D)²-4(B²-AC)³→M
2B³-9ABC+27A²D→R
³√(0.5(R+M→N
³√(0.5(R-M→O
(1+i√(3))/6A→P
(1-i√(3))/6A→Q
-B/(3A)-N/(3A)-O/(3A→U
-B/(3A)+PN+QO→V
-B/(3A)+QN+PO→W
Disp "X1=",U
Disp "X2=",V
Disp "X3=",W

This is the complete program used to give the three roots that solve the cubic equation. If there are less than 3 roots, it will still give three answers. Because the formula used to solve cubic equations is quite big, several repeated parts are turned into variables.[[Category:TI-BASIC]]
[[Category:TIBD]]