HP 33s Scientific manual 4More about Solving, Example An Equation with Two Roots

Keys:	Display:	Description:
H		Select Equation mode.
2 ^z		Enters the equation.
LX 3	
›4 z	
LX 2	
6 zLX	
›8 ‘	.º%:-º%:. º
	/	Checksum and length.
	/
‡		Cancels Equation mode.

Now, solve the equation to find the root:

Keys:Display:Description:

0 IX 10

H

X

￿

￿

_		Initial guesses for the root.
.º%:-º%:. º		Selects Equation mode;
		displays the left end of the
		equation.
#		Solves for X; displays the
%/		result.
) 	
) 		Final two estimates are the
		same to four decimal places.
.).		f(x) is very small, so the
		approximation is a good root.

Example: An Equation with Two Roots.

Find the two roots of the parabolic equation:

x2 + x – 6 = 0.

Enter the equation as an expression:

Keys:	Display:	Description:
H		Selects Equation mode.
LX 2 ›		Enters the equation.

LX …6 ‘ %:-%. 

D–4More about Solving