HP 33s User Manual
Page 253
Mathematics
Programs
15–31
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:
X
P
@
value
Starts the polynomial root finder;
prompts for order.
4
g
@
value
Stores 4 in F; prompts for D.
8
^
4
q g
@
value
Stores –8/4 in D; prompts for C.
13
^
4
q g
@
value
Stores –13/4 in C. prompts for B.
10
^
4
q g
@
value
Stores –10/4 in B; prompts for A.
22
4
q
g
%/
)
Stores 22/4 in A; calculates the
first root.
g
%/
)
Calculates the second root.
g
%/
.)
Displays the real part of the third
root.
g
L/
)
Displays the imaginary part of the
third root.
g
%/
.)
Displays the real part of the fourth
root.
g
L/
.)
Displays the imaginary part of the
fourth root.
The third and fourth roots are –1.00 ± 1.00 i.