Question

Solve. 2x2 – 6x = –8

Answer 1

by completing the square

Answer 2

2x² - 6x = -8
2x² - 6x + 8 = 0 /2
x² - 3x + 4 = 0

\[x = \frac{ -3 \pm \sqrt{9 - 16} }{ 2 }\]
\[x = \frac{ -3 \pm \sqrt{-5} }{ 2 }\]

At this point you got a negative square root and to solve it you have to use the complex numbers that I don't remember how to use :/