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if the each alggebric expression lx^2+mx+n, mx^2+nx+l and nx^2+lx+m are perfect squares then what is (l+m)/n sir is the answer to this is 2

if the each alggebric expression lx^2+mx+n, mx^2+nx+l and nx^2+lx+m are perfect squares then what is (l+m)/n
sir is the answer to this is 2

Grade:NULL

1 Answers

Arun
25757 Points
4 years ago
Dear Jatin
 
all the expression have D = 0
 
hence
 
x = – m / 2l              …....(i)
 
x =  – n / 2m            ….....(ii)
 
x = – l / 2n         ….........(iii)
 
from eqn (i)
 
m = – 2lx
 
pu this in (ii)
 
n = 4lx^2
 
hence x = – ½
 
 
if you put this in (i) and (ii)
 
you get l = m = n
 
hence
 
l + m / n
 
 = m + m / m
 
 = 2 m / m
 
 = 2
 
Regards
Arun

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