![]() ![]() Proceeding in this way, we obtain the following table: n Since f(1.5) = -0.25 and f(2) = 1, so the root lies between 1.5 and 2. Hence, the required root correct to two decimal places is 0.11.įind a real root of the equation x 2 –x -1 = 0 by the method of bisection. To find the smallest roots, the successive approximation by bisection method are tabulated below: n Thus we find the positive roots lie in the intervals and. Printf("There is no guarantee for a root within ") įind the location of the positive roots of x 3 – 9x 1 = 0 and evaluate the smallest one by bisection method correct to two decimal places. Printf("\nEnter the value of a and b :") #define f(x) x*x*x-2*x-1 //definition of the function f(x) Program to find a root of the equation x*x*x - 2x -1 = 0Īssume that a root lies between a and b. Implementation of Bisection Method in C /* Program Bisection Method Let ξ be root of the equation f(x) = 0 lies in the interval, i.e., f(a).f(b) 0, so there is no guarantee for a root within ' This method is based on the theorem which states that “If a function f(x) is continuous in the closed interval and f(a) and f(b) are of opposite signs then there exists at least one real root of f(x) = 0, between a and b. The Bisection method is the most simplest iterative method and also known as half-interval or Bolzano method. ![]() Implementation of Bisection Method in C.
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