Find the range of kkk such that the inequality x2+2kx+3k>0x^2 + 2kx + 3k > 0x2+2kx+3k>0 holds for all xxx.
0<k<30 < k < 30<k<3
k<0k < 0k<0 or k>3k > 3k>3
k>3k > 3k>3
k<3k < 3k<3