HP 33s - Manual (Page 254)

15–32 Mathematics Programs
Example 3:
Find the roots of the following quadratic polynomial:
x
2
+ x – 6 = 0
Keys:
(In RPN mode)
Display: Description:
X P @
value Starts the polynomial root finder;
prompts for order.
2 g
@
value Stores 2 in F; prompts for B.
1 g
@
value Stores 1 in B; prompts for A.
6 ^g
%/
.)
 Stores –6 in A; calculates the first
root.
g
%/
)
 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 = (x – m) cos
θ
+ (y – n) sin
θ
v = (y – n) cos θ –(x – m) 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.