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|This method is known as linear interpolation method and regula falsi method. In this method we search also about 2 points such that the sign of f(x) is in opposite direction at them then use the formula:|
c=b-f(b)*(b-a)/[f(b)-f(a)]. we repeat this method by replacing a or b with c according the sign of c until f(c) lies near zero or equal it.