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0
X
Calculates the positive
10 [SOLVE]
X=2.0000
root using guesses 0
and 10.
B(AsT) B(SHow)
0.00000000000
f(x) = 0.
0
X
Calculates the negative
10 (*4) @[SOLVE
X=-3.0000
root using guesses 0
and —10.
B(AsT) B(SHowW)
0.00000000000
f(x) = 0.
f(x)
-5
5
I
}
l
!
l
1
1
1
X
fix) = x2 + x — 6
Certain cases require special consideration:
B If the function's graph has a discontinuity that crosses the x-axis,
returns a value adjacent to the discontinuity (see figure B-
3a). In this case, f(x) may be relatively large.
B Values of f(x) may be approaching infinity at the location where the
graph changes sign (see figure B-3b). This situation is called a pole.
Since [SOLVE determines that there is a sign change between two
neighboring values of x, it returns the possible root. However, the
value in [§[LAsT] will be relatively large. If the pole occurs at a
value of x that is exactly represented with 12 digits,[SOLVE may try
that value and halt with an error message.
160
B: More About Solving Equations
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