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Let a,b,c epsilonR and alpha, beta,are the real roots of the equation ax^(2)+bx+c=0 and in a+b+clt0,a-b+clt0 andcgt0 then [alpha]+[beta] is equal to (where[.]denotes the greatest integer function).

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Solution :`(ax-b)^(2)+(bx-c)^(2)+(cx-d)^(2)lt0`
`b/a=c/b=d/c=x""b^(2)=ac""2 LOG 6=LOGA+logc`
`|(33,14,loga),(65,27,lobg),(97,40,logc)|to` apply `R_(1)toR_(1)+R_(3)-2R_(2)`
`=0`


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