Let \(\alpha ,\beta ,\gamma \) are the real roots of the equation \({ x }^{ 3 }+a{ x }^{ 2 }+bx+....

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Let \(\alpha ,\beta ,\gamma \) are the real roots of the equation \({ x }^{ 3 }+a{ x }^{ 2 }+bx+c=0\quad (a,b,c\in R\quad and\quad a\neq 0)\). If the system of equations (in \(u,v,w\)) given by \(\alpha u+\beta v+\gamma w=0,\quad \beta u+\gamma v+\alpha w=0,\alpha \quad \gamma u+\alpha v+\beta w=0\) has non-trivial solutions, then the value of \({ a }^{ 2 }/b\) is ................... 📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live



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