184 Section 13: Finding the Roots of an Equation
You have now found the two roots of
f(x) = 0. Note that this quadratic equation
could have been solved algebraically—
and you would have obtained the same
roots that you found using _.
The convenience and power of the _ key become more apparent
when you solve an equation for a root that cannot be determined
algebraically.
Example: Champion ridget hurler Chuck
Fahr throws a ridget with an upward
velocity of 50 meters/second. If the height
of the ridget is expressed as
h = 5000(1 − e
−t / 20
) − 200t,
how long does it take for it to reach the
ground again? In this equation, h is the
height in meters and t is the time in
seconds.
Solution: The desired solution is the
positive value of t at which h = 0.
Use the following subroutine to calculate the height.
Keystrokes Display
| ¥
000-
´ b A
001-42,21,11
Begin with label.
2
002- 2
Subroutine assumes t is
loaded in X- and Y-registers.
0
003- 0
÷
004- 10
Graph of f (x)
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