Regula–Falsi Method is a numerical method / explain example

Regula–Falsi Method is a numerical method for estimating the roots of a polynomial f(x).

EXAMPLE: Consider f(x) = x³ + 3x – 5, where [ a = 1, b = 2 ] and DOA = 0.001.

i	a	x	b	f(a)	f(x)	f(b)
1	1	1.1	2	– 1	– 0.369	9
2	1.1	1.13544668587896	2	– 0.369	– 0.129797592130931	9
3	1.13544668587896	1.14773797024856	2	– 0.129797592130931	– 0.0448680509813286	9
4	1.14773797024856	1.15196570867269	2	– 0.0448680509813286	– 0.0154155863909917	9
5	1.15196570867269	1.15341577448	2	– 0.0154155863909917	– 0.0052852985292482	9
6	1.15341577448	1.15391264384212	2	– 0.0052852985292482	– 0.00181077883487646	9
7	1.15391264384212	1.15408284038531	2	– 0.00181077883487646	– 0.000620231485743084	9

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