IF m,n,K are rational and `m=k +(n)/(k) ` then the roots of ` x^2 +mx +n =0` are

If mn,k are rational and m=k+(k)/(n) then the roots of x^(2)+mx+n=0 are

IF l,m,n are rational the roots of (m +n) x^2 -(l+m+n)x+l =0 are

If x=1 and x=-3 as the roots of 3x^2+2mx+3n=0 ,then find m and n.

If the roots of the quadratic equation m x^(2) - n x + k = 0 are tan 33^(@) and tan 12^(@) , then the value of (2m + n + k)/(m) is equal to

If m and n are roots of the equation (x+p)(x+q)-k=0 then find the roots of the equation (x-m)(x-n)+k=0

If L+M+N=0 and L,M,N are rationals the roots of the equation (M+N-L)x^(2)+(N+L-M)x+(L+M-N)=0 are

If the roots of lx^(2)+2mx+n=0 are real and distinct then the roots of (l+n)(lx^(2)+2mx+n)=2(ln-m^(2))(x^(2)+1) will be

Prove that the integral values of m for which the roots of the equation mx^(2)+ (2m-1)x+(m-2)=0 are rational are given by the expression n(n+1) , where n is integer.