Given :
f(x) = 0.0074 x4 - 0.284 x3 + 3.355 x2 - 12.183 x + 5 on (15,20)
Solution :
By Using Bisection method procedure under bracketing method, we can easily solve this polynomial function.
By using these an,bn values we can obtain the following table.
f(x) = 0.0074 x4 - 0.284 x3 + 3.355 x2 - 12.183 x +5 | |||||||||||||||
Bisection Method | |||||||||||||||
Iteration No | an | bn |
|
|
|||||||||||
0 | 15.0000 | 20.0000 | 17.5000 | -8.7572 | |||||||||||
1 | 17.5000 | 20.0000 | 18.7500 | -138.1922 | |||||||||||
2 | 17.5000 | 18.7500 | 18.1250 | -73.1413 | |||||||||||
3 | 18.1250 | 18.7500 | 18.4375 | -105.6068 |
We can continue this iteration till it satisfies condition.
1. The polynomial f(x) = 0.0074.0+ - 0.284.2 + 3.35522 - 12.183.c +5 has a real...
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