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 _____.

The quadratic equation x^(2)+mx+n=0 has roots which are twice those of x^(2)+px+m=0 ad m,n and p!=0. The n the value of n/p is

If the quadratic equation 4 x^ 2 - (p-2)x+ 1 = 0 has equal roots, then the value of 'p' are

Let alpha,beta in Rdot If alpha,beta^2 are the roots of quadratic equation x^2-p x+1=0a n dalpha^2,beta is the roots of quadratic equation x^2-q x+8=0 , then the value of rifr/8 is the arithmetic mean of p a n d q , is

If m and n are the roots of the quadratic equation x^(2) + px + 8=0 with m- n = 2, then the value of p' is

The equation 3x^(2)-12x+(n-5)=0 has equal roots. Find the value of n.

The equation 3x^(2)-12x+(n-5)=0 has repeated roots. Find the value of of n.

The equation 3x^(2)-12x+(n-5)=0 has repeated roots. Find the value of of n.

If-4 is a root of the quadratic equation x^2+p x-4=0 and the quadratic equation x^2+p x+k=0 has equal roots, find the value of kdot

If 2 is a root of the quadratic equation 3x^2+p x-8=0 and the quadratic equation 4x^2-2p x+k=0 has equal roots, find the value of kdot

If m and n are the roots of the quadratic equations x^(2)- 6x+ 2 =0 , then the value of (m+ n )^(2) is