HP 35s Scientific Calculator User Manual

Page 329

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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.

X

4

X

Õ




Enters the equation.

0

1

6

2

=

x

x

6

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