Table of Contents
Advertisement
Since
g(x)-h(x)=O,
the equation can be rewritten:
f(x)
=
g(x)-h(x)
=
-2i3
+
4x
2 -
6x
+
8
=
0
The value of
x
for which
f(x)=O
is called a
root
of the equation.
I
SOLVE
I
seeks a root for
[(x)
by evaluating the function repeatedly at
estimates of x, and comparing the results to previous estimates. Using
an complicated algorithm,
I
SOLVE
I
intelligently chooses a new estimate
where the graph might cross the x-axis.
The graph of the function
f(x)
=
-
2x
3
+
4x
2 -
6x
+
8 illustrates
that the function has one root. (The example on page 159 calculates
this root.)
((x)
~--+---+---+---+--=~
__
~
__
~
__
~
__
~~x
5
((x)
=
-
2x
3
+
4x
2 -
6x
+
8
156
B: More About Solving Equations
Hide quick links:
Advertisement
Table of Contents
