Home
Class 11
MATHS
Consider the equation x^2+2x-n=0 where n...

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`

Promotional Banner

Similar Questions

Explore conceptually related problems

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 number of values of a for which equations x^3+a x+1=0a n d x^4+a x^2+1=0 have a common root is a. 0 b. 1 c. 2 d. Infinite

The equations x^2 +3x+5=0 and ax^2+bx+c=0 have a common root. If a,b,c in N then the least possible values of a+b+c is equal to

If the equation x^(2)+12+3sin(a+bx)+6x=0 has atleast one real solution, where a, b in [0,2pi] , then the value of a - 3b is (n in Z)

If the system of equations x+a y=0,a z+y=0,a n da x+z=0 has infinite solutions, then the value of equation has no solution is -3 b. 1 c. 0 d. 3

The quadratic equation x^2+m x+n=0 has roots which are twice those of x^2+p x+m=0a dm ,na n dp!=0. The n the value of n//p is _____.

Suppose A is a complex number and n in N , such that A^n=(A+1)^n=1, then the least value of n is a. 3 b. 6 c. 9 d. 12

For what integral value of n if 3 pi is the period of the function cos(n x)sin((5x)/n) ?

If alpha,betaa n dgamma are the roots of x^3+8=0 then find the equation whose roots are alpha^2,beta^2a n dgamma^2 .

If equations x^2+a x+12=0. x^2+b x+15=0a n dx^2+(a+b)x+36=0, have a common positive root, then find the values of aa n dbdot