Consider the equation x^2 + x − 8 = 0. This equation has exactly one positive real solution α. (You do not have to show this.) (i) Use the Intermediate Value Theorem to show that α lies in the interval [2, 3] ii) Suppose the bisection method is used to nd an approximation for α, starting with the initial interval [2, 3]. In this case, determine how many iterations of the bisection method are required in order for the approximation found to be within 0.01 of the correct value for α