Solve by completing the square.

-x^{2} + 6x + 13 = 0

Follow the steps for completing the square.

x^{2} – 6x – 13 = 0

Be careful, because a = -1, not a = 1 like we need.

(x^{2} – 6x + (3)^{2}) – 13 – 9 = 0

is 3.

(x – 3)^{2} = 22

and }

Square completed.