Answer:
Completing the square gives you the equation:
(x - 3)² = -4
which can be simplified, giving you the complex number 3 ± 4i
Step-by-step explanation:
[tex]x^2 - 6x = -13\\x^2 - 6x + 9 = -4\\(x - 3)^2 = -4\\x - 3 = \sqrt{-4}\\x - 3 = \pm 4 i\\x = 3 \pm 4 i\\[/tex]
