# Math Help - [SOLVED] Completing the Square

1. ## [SOLVED] Completing the Square

Solve by completing the square:

-x+3x^2=-5

I just can't seem to figure out how to get the answer after you've completed the square. FYI the answer is x=(1/6)+-[(sqrt59)/6)i]

2. -x+3x^2=-5
$3x^2 - x = -5$

$x^2 - \frac{x}{3} = -\frac{5}{3}$

$x^2 - \frac{x}{3} + \frac{1}{36} = -\frac{5}{3} + \frac{1}{36}$

$\left(x - \frac{1}{6}\right)^2 = -\frac{59}{36}$

$x - \frac{1}{6} = \pm \frac{i \sqrt{59}}{6}$

$x = \frac{1 \pm i \sqrt{59}}{6}$