HP 33s 15–31, Mathematics Programs 15–31

Example 2:

Find the roots of 4x4 – 8x3 – 13x2 – 10x + 22 = 0. Because the coefficient of the highest–order term must be 1, divide that coefficient into each of the other coefficients.

Keys:	Display:	Description:
(In RPN mode)

XP	@
	value
4 g	@
	value
8 ^‘4	
qg	@
	value
13 ^‘4	
qg	@
	value
10 ^‘4	
qg	@
	value
22 ‘4 q	

g%/

)

g%/

)

g%/

.)

gL/

)

g%/

.)

gL/

.)

Starts the polynomial root finder; prompts for order.

Stores 4 in F; prompts for D.

Stores –8/4 in D; prompts for C.

Stores –13/4 in C. prompts for B.

Stores –10/4 in B; prompts for A.

Stores 22/4 in A; calculates the first root.

Calculates the second root.

Displays the real part of the third root.

Displays the imaginary part of the third root.

Displays the real part of the fourth root.

Displays the imaginary part of the fourth root.

The third and fourth roots are –1.00 ± 1.00 i.

Mathematics Programs 15–31