anonymous 5 years ago A circle is defined by the following equation: -2x^(2)-2y^(2)+24x-54=0 What are the coordinates ofits center?

1. anonymous

(6,0)

2. anonymous

HEY CHIZZ whats d ans

3. anonymous

^what?

4. anonymous

first rewrite the equations as $2x^2+2y^2-24x-54=0$ divide by 2 $x^2+y^2-12x-27=0$ complete the square: $(x-6)^2+y^2=27=36=63$ center is (6,0) radius is $\sqrt{63}$

5. anonymous

typo. 27+36 = 63

6. anonymous

another mistake. should be +54 not -54 so right hand side is -27+ 36 = 9 and radius is 3. sorry

7. anonymous

so is the center still (6,0)?