Question 19 (6 marks) Let a, b, c and d be distinct real numbers. Show that the equation (3 ~ b}(== cits: d) + (r - aux - cum - d) + (r - an: b)(r ~ d) + (2 ~ ans bur - c) = o (1) has exactly 3 distinct real solutions. (Hint: Let 19(2} = (a - am - b}(m cure .. d}. Then 33(1) = 0 has haw many distinct real solutions? Then use logarithmic differentiation to show that p'(:r) is given by the expression on the left hand side of (1}. Now, apply Rolie's theorem. )