Question

Complete the square: x^2 -6x+ = -13+

Answer 1

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:

$x^2 - 6x = -13\\x^2 - 6x + 9 = -4\\(x - 3)^2 = -4\\x - 3 = \sqrt{-4}\\x - 3 = \pm 4 i\\x = 3 \pm 4 i$