Answer:
[tex]{ \tt{2 + 2kx + 4k - 3 = 0}} \\ \\ { \tt{0 {x}^{2} + 2kx + (4k - 1) = 0 }}[/tex]
for unreal roots: b² < 4ac
• b is 2k
• a is 0
• c is 4k - 1
[tex]{ \tt{ {(2k)}^{2} < (4 \times 0 \times 4k - 1)}} \\ \\ { \tt{4 {k}^{2} < 0 }} \\ \\ { \boxed{ \tt{k < 0}}}[/tex]