If the function `x^(2)-2kx + 3` is minimum at x=3 then find the value of k.

If x = 3 is one root of the quadratic equation x^(2) - 2kx - 6 = 0 , then find the value of k .

If the function f(x) = x^(3)-24x^(2)+6kx-8 is maximum at x = 2 then find value of k.

If the function f(x) = x^(3)-24x^(2)+6kx-8 is maximum at x = 2 then find value of k.

If the sum of the zeros of the polynomial 2x^(2)+3kx+3 is 6, then find the value of k.

If x=3 is one root of the quadratic equation x^(2)-2kx-6=0, then find the value of k

If (x - k) is the HCF of x ^(2) + x -12 and 2x ^(2) - kx - 9, then find the value of k.

If x=3 is one root of the quadratic equation x^2-2kx-6=0 , then find the value of k

If the equations 3x+y=2,kx+2y=3 and 2x-y=3 are consistent,find the value of k and find their common solution for that the value of k.

If (x - 3) be a factor of the polynomial (k^(2)x^(3)-kx^(2)+3kx-k) , then find the value of k.