is ke 4 roots akise?
plz ans bataoo........mera 3 aa raha hai......
Let α,β,γ are roots of ax3+bx2+cx+d=0 then \sum{(\frac{\alpha +1}{\alpha -1})(\frac{\beta +1}{\beta -1})}=?
-
UP 0 DOWN 0 0 3
3 Answers
Lokesh Verma
·2009-03-06 21:08:08
\texttt{First note :} a(x+1)^{3}+b(x+1)^{2}+c(x+1)+d \texttt{ will have roots \alpha-1, \beta - 1 and \gamma - 1}
\text{given summation is same as } \sum{\left\{1+\frac{1}{\alpha -1}+\frac{1}{\beta -1}+\frac{1}{(\alpha -1)(\beta -1)} \right\}}
Now can you solve this?