(a + 1/a + 2)^2= 4, find a^2 + 1/a^2, given that a^2 + 1/a^2 cannot be negative

Answer 1

If the expression is to be true, then a + 1/a = 0 or (a2 + 1)/a = 0 or a2 + 1 = 0

That means,

a2 = -1 or a = sqrt(-1) = i