HP 35s Scientific X, − 1, Õ, D-7, X4, X, X _ , Keys:, Display:, Description:, Description:, Keys:Display:, More about Solving D-7

Now, solve to find the root:

Keys:Display:

X _ 



X	
	
	
	
￿	
￿	

Description:

Your initial guesses for the root.

Selects Equation mode; displays the equation.

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 an 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:
		Selects Equation mode.
X4		Enters the equation.
X
Õ

	

More about Solving D-7