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5. (10 pts) Consider the problem to find a root of the equation fx) 0 within [xl, x2]. Assume that the function method eval) and f(x1)0. Complete the following binarySearch. method using recursion, which returns a solution Xe(x1, x2], satisfying If(

Solution

double binarySearch(double x1, double x2, double tol){

    double x = (x1+x2)/2;

    if (abs(eval(x))<tol){

        return x;

    }

    else{

        if(eval(x)<0){

            binarySearch(x, x2, tol);

        }

        else{

            binarySearch(x1,x,tol);

        }

    }

}