Here's how i solved.
+ B = -b/a.B = c/a
and
+ 
= -m/l. = n/l
Now if equation has roots ( +B.) and ( + B.) eqn will be of form
X2 - ( ( +B.) + ( + B.) )X + ( +B.).( + B.)
Now
( + B.) + ( + B.) = (+ B).( + ) = -b/a * -m/l = bm/al
and
=
B ( (
+
)
2 - 2
) +
( (
+ B)
2 - 2
B )
= c/a ( (m/ l)2 - 2n/l ) + n/l ( (b/a)2 - 2c/a )
so the required equation is:
X
2 - ( (
+B.
) + (
+ B.
) )X + (
+B.
).(
+ B.
)
X2 - ( bm/al )X + [ c/a ( {m/l} 2 - 2n/l ) + n/l ( {b/a}2 - 2c/a ) ]
Moderation Team
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