Let α,β,γ be the roots of equations, x3+ax2+bx+c=0,(a,b,c∈R and a – InterviewSolution

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1.	Let α,β,γ be the roots of equations, x3+ax2+bx+c=0,(a,b,c∈R and a,b≠0). If the system of the equations (in u,v,w) given by αu+βv+γw=0; βu+γv+αw=0; γu+αv+βw=0 has non-trivial solutions, then the value of a2b is
Answer» Let $α, β, γ$ be the roots of equations, $x^{3} + a x^{2} + b x + c = 0, (a, b, c \in R$ and $a, b \neq 0) .$ If the system of the equations (in $u, v, w)$ given by $α u + β v + γ w = 0;$ $β u + γ v + α w = 0;$ $γ u + α v + β w = 0$ has non-trivial solutions, then the value of $\frac{a^{2}}{b}$ is

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