The quadratic equation `x^2+m x+n=0` has roots which are twice those of `x^2+p x+m=0a dm ,na n dp!=0.` The n the value of `n//p` is _____.

Answer

8

Explanation

`x^(2)+mx+n=0andx^(2)+px+m=0`
`2(alpha+beta)=-m" "(1)`
`4alphabeta-n" "(2)`
and `alpha+beta=-p" "(3)`
`alphabeta=m" "(4)`
`:.(1)and(3)implies2p=m` and `(2)and(4)implies4m=n`
`implies(n)/(p)=(4m)/(m//2)=8`