(12C Platinum) Quadratic Equations
01-11-2019, 11:20 AM (This post was last modified: 01-11-2019 12:13 PM by Gamo.)
Post: #1
 Gamo Senior Member Posts: 738 Joined: Dec 2016
(12C Platinum) Quadratic Equations
ALG Mode program to solve Quadratic Equation of

aX^2 + bX + C = 0

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Procedure:

a [R/S] b [R/S] c [R/S] display X1 [R/S] display X2

If Error 0 is display the equation has complex roots of

X ± iY

Use following sequence:

[CLx] [CLx] [CLx] [GTO] 030 [R/S] display X [R/S] display ±Y

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Example:

x^2 + 25x - 300 = 0

1 [R/S] display 1
25 [R/S] display 156.25
300 [CHS] [R/S] display 8.86 // Answer X1
[R/S] display -33.86 // Answer X2

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-8X^2 - 25X - 1005 = 0

8 [CHS] [R/S] display -8
25 [CHS] [R/S] display 2.4414
1005 [CHS] [R/S] display Error 0

[CLx] [CLx] [CLx] [GTO] 030 [R/S] display -1.5625
[R/S] display 11.0988

Complex Answer of -1.5625 ± 11.0988
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Program: ALG Mode
Code:
 STO 0 R/S  ÷ 2 ÷ RCL 0 CHS = STO 1 X^2 - (R/S ÷ RCL 0) = STO 0 √X + RCL 1 = R/S RCL 1 - RCL 0 √X = GTO 000 RCL 1 R/S RCL 0 CHS √X =

Gamo
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