Consider the equation `x^2+2x-n=0` where `n in N` and `n in [5,100]` The total number of different values of `n` so that the given equation has integral roots is a.`8` b. `3` c. `6` d. `4`

Consider the cubic equation f(x)=x^(3)-nx+1=0 where n ge3, n in N then f(x)=0 has

The total number of values a so that x^2-x-a=0 has integral roots, where a in Na n d6lt=alt=100 , is equal to a. 2 b. 4 c. 6 d. 8

The maximum number of real roots of the equation x^(2n) -1 = 0 , is

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

Let ' n ' is the number of ordered pair (x ,y) satisfying the system of equations {x^2y^2-2x+y^2=0 2x^2-4x+3+y^2=0(x , y in R) and ' S ' is the sum of all the values of xa n dy satisfying the given system of equations then (a) n > S (b) n < S (c) n-2 = S (d) S/n=2

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

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

The total number of terms which are dependent on the value of x in the expansion of (x^2-2+1/(x^2))^n is equal to 2n+1 b. 2n c. n d. n+1

The possible values of n for which the equation nx^(2)+(2n-1) x +(n-1)=0 has roots of opposite sign is/are by

For what value of n, the quadratic equation 3^(n)x^(2)+54x+81^(n)=0 have coincident roots?