If `l ,m ,n` are the three positive roots of the equation `x^3-a x^2+b x-48=0,` then the minimum value of `(1//l)+(2//m)+(3//n)` equals `1` `2` `3//2` `5//2`

If l,m,n, be the three positive roots of the equation x^(3)-ax^(2)+bx-48=0 , then the minimum value of (1)/(l)+(2)/(m)+(3)/(n) equals (alpha)/(beta) where alpha,beta in N , gcd(alpha,beta)=1 then alpha^(2)+beta^(2)=

If two roots of the equation x^(3)+mx^(2)+11x-n=0 are 2 and 3 then (m+n)=

If x=2 and x=3 are roots of the equation 3x^(2)-mx+2n=0 , then find the values of m and m.

The value of m for which the roots of the equation x^(2)+(m-2)x+m+2=0 are in the ratio 2:3 is

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 m and n ( m gt n) are the roots of the equation 7(x+2a)^(2) +3a^(2)=5a (7x+23a) where a gt 0 , then what is 3m-n equal to ?

If l,m,n are real l!=m, then the roots of the equation (l-m)x^(2)-5(l+m)x-2(l-m)=0 are a.real and equal b.Complex c.real and unequal d.none of these

For what values of m will the equation x^(2)-2x(1+3m)+7(3+2m)=0 have equal roots?