186 Section 13: Finding the Roots of an Equation
Fahr’s ridget falls to the ground 9.2843
seconds after he hurls it—a remarkable
toss.
When No Root Is Found
You have seen how the _ key estimates and displays a root of an
equation of the form f(x) = 0. However, it is possible that an equation has
no real roots (that is, there is no real value of x for which the equality is
true). Of course, you would not expect the calculator to find a root in this
case. Instead, it displays
Error 8
.
Example: Consider the equation
|x| = −1
which has no solution since the absolute
value function is never negative. Express
this equation in the required form
|x| + 1 = 0
and attempt to use _ to find a
solution.
Keystrokes Display
| ¥
000-
Program mode.
´ b 1
001-42,21, 1
| a
002- 43 16
1
003- 1
+
004- 40
| n
005- 43 32
Graph of h versus t
Graph of f (x) = |x| + 1