Question

help guys
let p/q be a rational root of the equation lx^2+mx+n=0.then q divides
(a) n
(b) m
(c) l
(d) none
give answer with brief explanation?​

Answer 1

Answer:

sorry i dont know it ok dont like

Answer 2

Answer:

Correct option is

C

12m

2

=49nl

Let the two roots be 3α and 4α.

sum of roots=3α+4α=−

l

m

∴7α=−

l

m

∴α=−

7l

m

...(1)

product of roots=(3α)(4α)=

l

n

∴12α

2

=

l

n

Substituting the value of α from equation (1), we get

∴12(−

7l

m

)

2

=

l

n

∴

49l

2

12m

2

=

l

n

∴12m

2

=49nl

So, the answer is option (C)