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Let a, b, c in R and alpha, beta are the real roots of the equation ax​2 + bx + c = 0 and if a + b + c < 0, a – b + c < 0 and c > 0 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 lt 0`
`b/a=c/b=d/c=x ""b^2=ac` 2 LOG 6 = log a + log c
`|{:(33,14,log a),(65,27,log b ),(97,40,log c):}|to `APPLY `R_1 to R_1 + R_3 -2R_2` =0


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