Determine the range of kkk such that x2+2kx+4k−3>0x^2 + 2kx + 4k - 3 > 0x2+2kx+4k−3>0 for all xxx.
1<k<31 < k < 31<k<3
k<1k < 1k<1 or k>3k > 3k>3
k>1k > 1k>1
k<−3k < -3k<−3