HP (Hewlett-Packard) HP 33s Calculator User Manual


 
15–32 Mathematics Programs
File name 33s-English-Manual-040130-Publication(Edition 2).doc Page : 388
Printed Date : 2004/1/30 Size : 13.7 x 21.2 cm
Example 3:
Find the roots of the following quadratic polynomial:
x
2
+ x – 6 = 0
Keys:
(In RPN mode)
Display: Description:
t
P

value
Starts the polynomial root finder;
prompts for order.
2
¥

value
Stores 2 in F; prompts for B.
1
¥

value
Stores 1 in B; prompts for A.
6


Stores –6 in A; calculates the first
root.
¥


Calculates the second root.
Coordinate Transformations
This program provides two–dimensional coordinate translation and rotation.
The following formulas are used to convert a point P from the Cartesian coordinate
pair (
x, y) in the old system to the pair (u, v) in the new, translated, rotated system.
u = (xm) cos
θ
+ (yn) sin
θ
v = (yn) cos
θ
–(xm) sin
θ
The inverse transformation is accomplished with the formulas below.
x = u cos
θ
v sin
θ
+ m
y = u sin
θ
+ v cos
θ
+ n
The HP 33s complex and polar–to–rectangular functions make these computations
straightforward.