Question

Select the correct answer.

What is the solution to the equation?
(x - 2)² + 4 = x
OA.
-3 and -6
OB. 3 and 6
O C.
-3
OD. 6

Answer 1

(x - 2)² + 4 = x

x² - 4x + 4 + 4 = x

x² - 5x + 8 = 0

x = (5 ± √((-5)² - 4(1)(8)))/2

= (5 ± √(25 - 32))/2

= (5 ± i√7)/2

= 5/2 ± (i√7)/2