HP 33s Scientific manual 1=, More about Solving D-7

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Finds a root with guesses 0 and 5.

Shows root, to 11 decimal places.

The previous estimate is slightly bigger.

f(x) is relatively large.

Note the difference between the last two estimates, as well as the relatively large value for f(x). The problem is that there is no value of x for which f(x) equals zero. However, at x = 1.99999999999, there is a neighboring value of x that yields ant opposite sign for f(x).

Example:

Find the root of the equation

x− 1= 0

x2 − 6

As x approaches 6 , f(x) becomes a very large positive or negative number.

Enter the equation as an expression.

Keys:	Display:	Description:
H		Selects Equation mode.
LX q		Enters the equation.
]LX	
2 6	
` 1	

‘%ª1%:. 2.

	/ 	Checksum and length.
	/
‡		Cancels Equation mode.

More about Solving D–7