205k views
3 votes
X^2 - 16x + y^2 - 36=0 what is the center of this circle

User Edudjr
by
4.5k points

1 Answer

2 votes

Answer:

(8, 18)

Explanation:

Complete the square twice:

x^2 - 16x + y^2 - 36 = 0

x^2 - 16x + 8^2 + y^2 - 36 + 18^2 = 0 + 8^2 + 18^2

(x-8)^2 + (y-18)^2 = 388

Center: (8, 18)

User Joshua Underwood
by
3.8k points