... 1.40360.10203=Since, x3 and x4 are approximately the same upto four places of decimal, hence the requiredroot of the given equation is 1.4036.48 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES Using ... 4 .79 77 – 4.8446 = – 0.0469Thus, the root lies between 1.6866 and 2.50 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES and f(3) = (3)3 – 2(3) – 5 = 16Therefore, a root lies between 2 and ... ei, xi+1 = α + ei+152 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES Since f(2) and f(3) are of opposite signs, therefore the root lies between 2 and 3, so takingx0 = 2, x1 = 3,...