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Decimal search.
Member rating: No Rating | Words: | Submitted: Mon Jan 05 2004
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Decimal search
The equation f (x) = 0, where f (x) = x3-x2+x-2, has only one real root, but there is no simple analytical method of finding it. Therefore, a spreadsheet had been used to solve the equations numerically using decimal search.
x
f(x)
-3
-41
-2
-16
-1
-5
0
-2
1
-1
2
4
3
19
The table and graph above illustrated the first approximations to the roots of the equation x3-x2+x-2=0.
As the curve crosses the x-axis, f (x) changes sign, so provided that f (x) is a continuous function, once you have located an interval in which f(x) changes sign, you know that that interval must contain a root.
In the table, you first take increments in x of size 1 within the interval 1Get instant access
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