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Let alpha,beta,gamma are the real roots ...

Let `alpha,beta,gamma` are the real roots of the equation `x^3+a x^2+b x+c=0(a ,b ,c in R and a!=0) dot` If the system of equations in `( u ,v ,and w)` given by `alphau+betav+gammaw=0`, `betau+gammav+alphaw=0`, `gammau+alphav+betaw=0` has non-trivial solutions then the value of `a^2//b` is ________.

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CENGAGE PUBLICATION-DETERMINANTS-All Questions
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