# Math Help - finding X & Y intercepts

1. ## finding X & Y intercepts

I have the following problem:

(X+5)^2+(Y-2)^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

2. I agree with your solution to the $\displaystyle x$ intercepts, but I disagree with your solution to the $\displaystyle y$ intercepts.

Make $\displaystyle x=0$ and solve for $\displaystyle y$...

$\displaystyle (0+5)^2 + (y-2)^2 = 20$

$\displaystyle 25 + (y - 2)^2 = 20$

$\displaystyle (y-2)^2 = -5$.

This does not have a real solution, so it does not cross the $\displaystyle y$ axis.

3. thanks the Y intercept I was unsure of.