X2 + y2 - 4x + 10y + 4 = 0.

find the center and radius of a circle

the center is : (2, - 5) and radius 5

Step-by-step explanation:

hello:

x² + y² - 4x + 10y + 4 = 0

(x²-4x) + (y²+10y) + 4 = 0

Completing The Square:

(x²-4x+4) - 4 + (y²+10y+25) - 25+4 = 0

(x-2) ² + (y+5) ² = 5² ... standard form

the center is : (2, - 5) and radius 5