
finding X & Y intercepts
I have the following problem:
(X+5)^2+(Y2)^2=20
for x I got X=1 or X=9
For Y I solved
Y= 2 square root 5 or Y= 2 square rt 5
then im supposed to see if the y axis and x axis is symetrical or the origin? Then justify it I'm unsure how to procede.
Any help would be appreciated

I agree with your solution to the $\displaystyle \displaystyle x$ intercepts, but I disagree with your solution to the $\displaystyle \displaystyle y$ intercepts.
Make $\displaystyle \displaystyle x=0$ and solve for $\displaystyle \displaystyle y$...
$\displaystyle \displaystyle (0+5)^2 + (y2)^2 = 20$
$\displaystyle \displaystyle 25 + (y  2)^2 = 20$
$\displaystyle \displaystyle (y2)^2 = 5$.
This does not have a real solution, so it does not cross the $\displaystyle \displaystyle y$ axis.

thanks the Y intercept I was unsure of.