Monday, December 3, 2012

Numeric CAS - Part 7: Quadratic Equation

Quadratic Formula

Ax² + Bx + C = 0

Where x = (-B ± √(B² - 4AC)) / (2A)

This is just the popular quadratic formula, except this set of programs allow for complex A, B, and C. (Unlike the Solver applications).

Example:
A = 2 - i
B = -6
C = 14i

x1 ≈ -0.9873 + 1.551i
x2 ≈ 3.3873 - 0.3509i


Casio Prizm:

QUADSLV
Quadratic Equation - Complex Coefficients Allowed
11/23/2012 - 124 bytes

a+bi
"AX²+BX+C=0"
"A"? → A
"B?"→ B
"C?"→ C
√(B²-4AC) → X
(-B - X) ÷ (2A)→ R
(-B + X) ÷ (2A) → S
"X=R Or X=S"
R ◢
S


TI-84+:

QUADSLV
Quadratic Formula - Allows for Complex Coefficients
Ax^2 + Bx + C = 0

a+bi
Disp "AX²+BX+C"
Prompt A,B,C
√(B²-4AC) → X
(-B - X)/(2A) → R
(-B + X)/(2A) → S
Disp "X=R or X=S"
Pause R
Pause S


HP 39gii:

Use the POLYROOT command. POLYROOT([A,B,C])

The vector can represent any polynomial.




This blog is property of Edward Shore. 2012





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