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\[x^2+2x+y^2+4y=20\]

I know I have to complete the square but I have no clue how to do it.

convert it to the form
(x - a)^2 + (y - b)^2 = r^2
complete the square x^2 + 2x and y^2 + 4y

We use (h-k)^2+(y-k)^2=r^2 but it's the same thing as the form you gave me.

Thank you so much. I have one more question if you dont mind?

well i must go in 10 minutes so we'll see how much i can do in that time

Prove that the two circles shown below are similar.

I know that all circles are similar, but how do I prove it?

oh must go now I'm sure jhannybean can help

Okay thank you!

Haha you dont have to @welshfella

@Jhannybean Could you help with the circle question? It's my last one. :/

hint: try creating triangles within the circles and then using their ratios in comparison.

|dw:1440188772500:dw|

So once i have the ratios what do i do?

If we compare al the sides in a ratio, we would see it has a proportional relationship

What about dilations? Couldn't we see if they are similar that way?

Then we can say by the SSS theorem, \[\frac{2}{5} = \frac{\sqrt{8}}{\sqrt{50}}\]

Hmm..i'm not really familiar with dilations! sorry.

Okay well thank you!

@cwrw238 could you help me understand dilations? :)

Oh cool! no problem.