A circle is described by the equation x2-10x+y2+8y=6

. Identify the center and radius of the circle.

x² - 10x + y² + 8y = 6

x² + y² - 10x + 8y - 6 = 0

Center = ( - (1/2) A, - (1/2) B)

= ( - (1/2) (-10), - (1/2) (8))

= (5, - 4)

Radius = √ ((1/4) A² + (1/4) B² - C)

= √ ((1/4) (-10) ² + (1/4) 8² - (-6))

= √ ((1/4) (100) + (1/4) (64) + 6)

= √ (25 + 16 + 6)

= √47