If the equation `5arctan(x^(2)+x+k)+3arc cot(x^(2)+x+k)=2 pi,` has two distinct solutions,then the range of `k,` is

If x^2 + kx + k =0 has two distinct real solutions, then the value of k will satisfy:

Let f(x)=(e^(x))/(x^(2))x in R-{0}. If f(x)=k has two distinct real roots,then the range of k, is

If the equation sin ^(2) x - k sin x - 3 = 0 has exactly two distinct real roots in [0, pi] , then find the values of k .

If the equation sin ^(2) x - k sin x - 3 = 0 has exactly two distinct real roots in [0, pi] , then find the values of k .

If the equation sin ^(2) x - k sin x - 3 = 0 has exactly two distinct real roots in [0, pi] , then find the values of k .

If the equation x^(2)-4x-(3k-1)|x-2|-2k+8=0,kinR , has exaclty three distinct solutions, then k is eaual to _____.

If the equation x^(2)-4x-(3k-1)|x-2|-2k+8=0,kinR , has exaclty three distinct solutions, then k is eaual to _____.

If the equation x^(2)-4x-(3k-1)|x-2|-2k+8=0,kinR , has exactly three distinct solutions, then k is equal to _____.

If the equation x^(log_(a)x^(2))=(x^(k-2))/a^(k),a ne 0 has exactly one solution for x, then the value of k is/are