Let a and b be real numbers such that a + b = 4 and a^4 + b^4 = 16. (a) Find all possible values of ab (b) Find all possible values of a + b (c) Find all possible values of a and b
(a,b) = (2 + sqrt(3), 2 - sqrt(3)) or (2 - sqrt(3), 2 + sqrt(3))
