What is the center and radius of the circle? *

x² - 2x + 5 + y² = 8

Answer: center (1; 0), radius = 2

Step-by-step explanation:

x² - 2x + 5 + y² = 8

x² - 2x + 5 + y² = x² - 2x + 1 + 4 + y² = (х-1) ² + 4 + y²

(х-1) ² + 4 + y² = 8

(х-1) ² + y² = 8 - 4 = 4

(х-1) ² + y² = 2²

center (1; 0), radius = 2