Answer:
x = -1 ± 2i
Step-by-step explanation:
Quadratic Formula: [tex]x = \frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]
√-1 = i
Step 1: Factor GCF
3(x² + 2x + 5)
Step 2: Use quadratic formula
a = 1
b = 2
c = 5
[tex]x = \frac{-2+/-\sqrt{2^2-4(1)(5)} }{2(1)}[/tex]
[tex]x = \frac{-2+/-\sqrt{4-20} }{2}[/tex]
[tex]x = \frac{-2+/-\sqrt{-16} }{2}[/tex]
[tex]x = \frac{-2+/-i\sqrt{16} }{2}[/tex]
[tex]x = \frac{-2+/-4i }{2}[/tex]
[tex]x = \frac{-2(-1+/-2i) }{2}[/tex]
x = -1 ± 2i
