SOLUTION: I would really appreciate it if you could help me with this question!!! the directions states: find the coordinates of the center and the radius of each circle whose equation is

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: I would really appreciate it if you could help me with this question!!! the directions states: find the coordinates of the center and the radius of each circle whose equation is       Log On


   

Question 827920: I would really appreciate it if you could help me with this question!!!
the directions states: find the coordinates of the center and the radius of each circle whose equation is given and then draw a graph.
equation: 4x^2+4y^2+36y+5=0

Thank you so much for taking your time to help me!!!! I really do appreciate it!:)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
In case you need review about completing the square, see the lesson about this, linked through my profile, "What is Completing the Square".

4x%5E2%2B4y%5E2%2B36y%2B5=0
4x%5E2%2B4%28y%5E2%2B9y%29%2B5=0
4x%5E2%2B4%28y%5E2%2B9y%2B%289%2F2%29%5E2%29-4%289%2F2%29%5E2%2B5=0
4x%5E2%2B4%28y%2B9%2F2%29%5E2=4%289%2F2%29%5E2-5
x%5E2%2B%28y%2B9%2F2%29%5E2=%289%2F2%29%5E2-5%2F4
x%5E2%2B%28y%2B9%2F2%29%5E2=%2876%29%2F4
highlight%28x%5E2%2B%28y%2B9%2F2%29%5E2=19%29

Center at (0,-4.5), and radius is sqrt%2819%29.