Can these questions be solved above?

In this question, we'll numerically solve the equation f(x) = x - COST = 0. The first method is by using "binary search", which is in fact one way to prove the intermediate value theorem. (a) Use IVT to show that f(x) has a root a* in (0, 7/2). Is this solution unique? (b) Run the "binary search" algorithm to find the solution. Your initial data will be yo = 0 and zo = 7/2. You should each time keep track of a lower bound y; and an upper bound z, so that y; S x*