Question (a) Let a = [do, a1, a2, . .., an] be a purely repeating continued fraction, with a; > 0 for all i. Show that a is a root of some quadratic equation.Question(b) Let 8 = [a,,a,_1,...,a]. Use the previous problem to show that 1L satisfies the same B quadratic equation as a. Question(c) Prove that any purely repeating continued fraction satisfies a quadratic equation where one of the roots is larger than 1 and the other is between 1 and 0. (It turns out that this characterizes purely repeating continued fractions, though you do not need to show this.)