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 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

if a,b.c belongs to rational number and if m+sqrt(n) is a root of ax^(2)+x+c=0,(a!=0), here m and n are rational number and sqrt(n) is a surd quantity then other root must be m-sqrt(n).

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 the quadratic equation mx^(2)-nx+k=0 are tan33^(0) and tan12^(0) then the value of (2m+n+k)/(m)=

Find the values of m and n, if (x-m) and (x-n) are the factors of the expression x^(2)+mx-n

If lim_(n rarr oo)sum_(k=1)^(n)(k^(2)+k)/(n^(3)+k) can be expressed as rational (p)/(q) in the lowest form then the value of (p+q), is