Let α, β, γ be the real roots of the equation, x3 + ax2 + bx + c = 0, (a, b, c ∈ R and a, b ≠ 0). If the system of equations (in, u, v, w) given by αu + βv + γw = 0, βu + γv + αw = 0; γu + αv + βw = 0 has non-trivial solution, then the value of \(\frac{a^2}b\) is
(1) 5
(2) 3
(3) 1
(4) 0