HP -225 Owner's Manual page 173

Scientific calculator
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SOLVE Equation: X"2-6xX+13=0
Keys:
Display:
Description:
0
X
Search fails with
10 [B(SOLVE]
NO ROOT FND
guesses 0 and 10.
3.0000
Displays the last esti-
mate of x.
B (LAsT)
40000
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 f(x)
using various values of x in the vicinity of x = 3. (To evaluate f(x), edit
the equation to the expression X~2-6x¥X+13, and use
to calcu-
late the value of the expression for various x-values.)
f(x)
10
f(x) = x2 — 6x + 13
Example: An Asymptote. Find the root for the equation:
10— L =9
X
B: More About Solving Equations
165

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