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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

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