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More about Solving D-7
Now, solve to find the root:
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
As x approaches , f(x) becomes a very large positive or negative number.
Enter the equation as an expression.
Keys: Display: Description:
X
_
Your initial guesses for the root.
Selects Equation mode; displays
the equation.
X
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.
Keys: Display: Description:
Selects Equation mode.
X4
X
Õ
Enters the equation.
01
6
2
=−
−x
x
6