HP -22S Owner's Manual page 165

SOLVE Equation: W'2-6xX +13=0
Keys: Display: Description:
OISTOIX
Search fails with
10.1
SOLVE I
NO ROOT FND guesses 0 and 10.
@)
3.0000
Displays the last esti-
mate of x .
• 1
LAST I
4.13131313
Value of f(x) at x
=
3.
The function is a parabola with a minimum at coordinate (3,4). You
could obtain your own rough sketch of the function by evaluating
I(x)
using various values of x in the
vicinity
of x
=
3. (To evaluate f(x), edit
the equation to the expression
X"2-6xX +13,
and use
1
EVAL I
to calcu-
late the value of the expression for various x-values.)
f(x)
10
5
~--+-------~------+-------+-------+-------~----~x
5
f(x)
=
x
2 -
6x
+
13
Example: An Asymptote. Find the root for the equation:
1
1 0 - - = 0
x
B: More About Solving Equations 165