SOLUTION: Hi I am having some difficulties with this problem. I hope you can help. Thanks in advance. Find the center and radius of the circle whose equation is x2 + 10x + y2 = 75. Th

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Hi I am having some difficulties with this problem. I hope you can help. Thanks in advance. Find the center and radius of the circle whose equation is x2 + 10x + y2 = 75. Th      Log On


   



Question 476800: Hi I am having some difficulties with this problem. I hope you can help. Thanks in advance.
Find the center and radius of the circle whose equation is x2 + 10x + y2 = 75.
Thanks

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Hi I am having some difficulties with this problem. I hope you can help. Thanks in advance.
Find the center and radius of the circle whose equation is x2 + 10x + y2 = 75
**
x2 + 10x + y2 = 75
completing the square
(x^2+10x+25)+y^2=75+25=100
(x+5)^2+y^2=100
This is an equation of a circle of standard form: (x-h)^2+(y-k)^2=r^2, with (h,k) being the (x,y) coordinates of the center and r=radius.
For given equation:
Center:(-5,0)
r^2=100
r=10 (radius)