If roots of equation `x^2-(2n+18)x-n-11=0(n in 1)` are rational number for `n=a and n=b` then `|a-b|` is

The probability that the roots of the equation x^(2)+nx +(n+1)/2 are real where n in N (N set of natural numbers ) and n le 5 is :

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

The integral value of m for which the root of the equation m x^2+(2m-1)x+(m-2)=0 are rational are given by the expression [where n is integer] (A) n^2 (B) n(n+2) (C) n(n+1) (D) none of these

The integral value of m for which the root of the equation m x^2+(2m-1)x+(m-2)=0 are rational are given by the expression [where n is integer] (A)n^2 (B) n(n+2) (C) n(n+1) (D) none of these

The integral value of m for which the root of the equation m x^2+(2m-1)x+(m-2)=0 are rational are given by the expression [where n is integer] (A) n^2 (B) n(n+2) (C) n(n+1) (D) none of these

The integral value of m for which the root of the equation m x^2+(2m-1)x+(m-2)=0 are rational are given by the expression [where n is integer] (A) n^2 (B) n(n+2) (C) n(n+1) (D) none of these

If a\ a n d\ b are roots of the equation x^2-x+1=0 then write the value of a^2+b^2dot

If alpha,beta are the roots of the equation x^2-2x+4=0 , find alpha^(n)+beta^(n) for (a) n=3k, k in N (b) n ne 3k, k in N

Let alpha and beta are roots of equation x^(2)-x-1=0 with alpha > beta . For all positive integers n defines a_(n)=(alpha^(n)-beta^(n))/(alpha-beta) , n>1 and b=1 and b_(n)=a_(n+1)+a_(n-1) then

Let A,B be integers and let alpha,beta be the roots of the equation,x^(2)-x-1=0, where alpha!=beta For n=0,1,2,..., Let a_(n)=A alpha^(-n)+B beta^(-n)