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HP -22S Owner's Manual Page 159

Scientific calculator.
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f(x)
f(x)
Estimate
t1
Estimate
2a
2b
Figure B-2. Cases Where a Root is Found
To obtain additional information about the result, press
.1
LAST
I to see
the value of f(x) (the value of the left side of the equation minus the
value of the right side of the equation). If f(x) equals 0 or is relatively
small,
it
is very likely that
1
SOLVE!
has found a solution. However, if
[(x)
is relatively large, you must use judgment in interpreting the
results.
Example: A Solution With One Root.
Find the root of the equation:
-2x3
+
4x
2 -
6x
+
8
=
0
SOLVE Equation:
-2xX A
3
+4XXA2-6xX +8=13
Keys:
Display:
Description:
o
ISTO! X
Calculates x using
10.1
SOLVE!
X=1.6506
guesses 0 and 10.
.1
LAST!
-4.0000E-ll
[(x)
is
very
small.
Example: An Equation With Two Roots.
Find the roots of the
equation:
SOLVE Equation:
XA2+X-6=e
B: More About Solving Equations
1 59

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