Let a and b be real numbers such that a + b = 4 and a^4 + b^4 = 62
(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 = 2 - sqrt(sqrt(159) - 12) and b = 2 + sqrt(sqrt(159) - 12) [Real
a = 2 + sqrt(sqrt(159) - 12) and b = 2 - sqrt(sqrt(159) - 12) [Real
a = 2 - i sqrt(12 + sqrt(159)) and b = 2 + i sqrt(12 + sqrt(159)) [Imaginary
a = 2 + i sqrt(12 + sqrt(159)) and b = 2 - i sqrt(12 + sqrt(159)) [Imaginary
