Answer Happy

PLEASE COMPLETE THE FULL QUESTION. I AM GETTING p(x) = x^2. Butafter that I don't know how to get the approximate root of theoriginal function f(x). SOLVE IN DETAIL.
5. It is known that f(x) = x - 9- has a root in [0, 1], i.e., there is a number r between 0 and 1 such that f(r) = 0. First, find the interpolation polynomial p(x) for f(x) on xo = 0, 1₁ = 0.5, and x2 = 1. By setting p(x) = 0, compute an approximate root of the original function f(x).