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HP -27S Owner's Manual page 208

Scientific

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\/
lterative
Solutions
\/
when the solver
cannot isolate the unknown,
it
seeks
an iterative
\-'
solution by searching
f.or
a
number that
sets
the
left
side
of the
equa-
v
tion
equal
to the right
side.
A
convenient
way to
conceptualize the
process
is to think of the
equation as a function
of
one (unknown)
\-'
variable
for which
the Solver is
seeking
a
root.
\/
How
the
Solver Finds
a
Root lteratively
Consider an_equation
containing
a
number of variables, including un-
v
known
r.
when
values
have been entered
for all
variables
o<cep"t
the
.v
unknown, the equation has the form:
v
gft)
:
h(x)
!
where-g(r)
and,
h(x)
are the
left
and right
sides
of
the equation.
For
v
o<ample,
when the
equation:
\/
of +L*-l
cx*it
v14
v
issolvedforrwith
n
:
-2,b
:
B,r
:
2,c
:
24,andd
:
-g,ithas
\r'
the form:
v
-2x3+4x2:6x-g
v
s-_,
+/J
g(x)
h(x)
v
Since
g(d-lr(x)
:
0, the
equation can be rewritten:
.
f(x)
:
g(x)
-
h(x)
: -2f *
4x2
-
6x
t8 :
0
:
:
B:
tore
About the
Solver
2Ol

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