Q. Let $α, β, γ$ are the real roots of the equation $x^{3} + a x^{2} + b x + c = 0 (a, b, c \in R$ and $a \neq = 0)$ . If the system of equations (in $u, v$ and $w$ ) given by $αu + β v + γ w = 0; β u + γ v + α w = 0; γ u + αv + βw = 0$ has non-trivial solutions, then $a^{2}$ equals

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$b$

Solution: