Question

Find the center of the ellipse 7x^2+3y^2+6y-4=0.

Answer 1

try completing the square for each variable. What do you get?

Answer 2

I did that and I got.( 7x^2 +0+0) + 3(y^2+2y+1)=4+3

Answer 3

do the same for x too, you haven't complete the square for x yet

Answer 4

Can I pull a 7 or 0 out?

Answer 5

wait... nvm, you got it right. Idk what I said in the last post

Answer 6

so now, change them so that they become (x+a)^2 and (y+b)^2

Answer 7

the a and b should tell you the center

Answer 8

Okay! I know the y one turns into (y+1)^2 so my y coordinate is 1. What would the x won be? The zero is throwing me off?

Answer 9

exactly... it's zero

Answer 10

don't overthink it, haha

Answer 11

Okay. Perfect! Thank you so much!