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lazycol (711)

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Olaaa!! Perrrfect answer. 121  [174 rates]

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from given eqn,
++ = -b/a ; ++ = c/a ;  = -d/a
roots of req. eqn r (  - 1)/ ; (  - 1)/ ; ( - 1)/
consider l,m,n such dat they r reciprocals of abv 3
l+m+n = ( +  + ) /( - 1) = -c/(a+d)
lm+ln+mn = (++) *  / (  - 1) = -bd/(a+d)2
lmn = ()2 / ( - 1)3 = -ad2 / (a+d)3
eqn whose roots r l,m,n  is (a+d)3x3 + (a+d)2cx2 - bd(a+d)x + ad2 = 0
to obtain req, eqn change x 2 1/x
ad2x3 - bd(a+d)x2 + (a+d)2cx + (a+d)3 = 0
 

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