HP 33S - Page 251

Mathematics Programs
15–31
File name 33s-E-Manual-1008-Publication(1st).doc Page : 386
Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm
Example 2:
Find the roots of 4x
4
– 8x
3
– 13x
2
– 10x + 22 = 0. Because the coefficient of the
highest–order term must be 1, divide that coefficient into each of the other
coefficients.
Keys:
(In RPN mode)
Display: Description:
t
P

value

Starts the polynomial root finder;
prompts for order.
4
¥

value

Stores 4 its F; prompts for D.
8
z Ï
4
¯ ¥


value
Stores –8/4 in D; prompts for C.
13
z Ï
4
¯ ¥


value
Store –13/4 in C. prompts for B.
10
z Ï
4
¯ ¥


value
Stores –10/4 in B; prompts for A.
22
Ï
4
¯
¥



Stores 22/4 in A; calculates the
first root.
¥


Calculates the second root.
¥


Displays the real part of the third
root.
¥


Displays the ima
g
inary part of the
third root.
¥


Displays the real part of the fourth
root.
¥


Displays the ima
g
inary part of the
fourth root.
The third and fourth roots are –1.00 ± 1.00 i.