Using the quadratic equation we get:
[tex] \frac{ - 2 + - \sqrt{4 - 32} }{2} = \frac{ - 2 + - \sqrt{ - 28} }{2} [/tex]
Factoring out 2 we get
[tex] \frac{ - 2 + - 2\sqrt{ - 7} }{2} = - 1( + - ) \sqrt{ - 7} [/tex]
Factoring out the imaginary number:
[tex] - 1 + \sqrt{7} i \: (and) \: - 1 - \sqrt{7} i[/tex]
So b.