Sharp PC-1500 - Page 24

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SHARP
PROGRAM
T I T L E
I Outline ]
QUADRATIC AND CUBIC EQUATIONS
PROGRAM NO .
PS- A- 6
CE- I 50 required
This program determin es the roots of quadratic and cub ic equations. Selecting a
quadratic
or cubic equation, and keying-in the factors of the equation, allows you
to find its root.
I Operating Guide I
Input :
I. Choosing the equation
l ou l 0 for the root of a quadr atic equatio n . ..... . . . ... (A)
J DEF I II] for the root of a cubic equation .... ..... ...... (B)
2. Coefficients input
For(A), Coefficients a, band c inpu ts
For (B) , Coefficients a, b, c and d input s
Output : Root value - " REAL", "X, " and "X
2
"
will be printed out for 2 real
roots .
" DOUBLE" and " X
1
" will be printed out for a double
r
oot.
"••• RE AL ••• ",IMAGINARY, real ·part and imaginary
part will be printed out for an imaginary root.
I Example I
1. Root of a quadrat ic eq uation
4X
1
- X - I= 0
sx• + 4X + 1 = o
2. Root of a cubic equation
X
3
+ x
2
-
2x - 2 = o
(Co ntents] (Formulas)
[) R oo t of a quadratic equa ti on:
ar • + b r + c = O ( a ~ 0 )
-b ±J b
2
- 4a c
r =
2a
(I) Real root with b
2
- 4ac > O
r=
- b ±J b' - 4 ac
2a
(2) Real root with b
2
- 4ac = O
b
r = - 2a
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