(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The ellipse 18x^2+2x+y^2=1 has its center at the point (b,c) where b=____ and c=____?

2. Relevant equations

x^2/a^2 + y^2/b^2 = 1

3. The attempt at a solution

18x^2+2x+y^2=1

18(x^2+(1/9)x)+y^2=1

18(x^2+(1/9)x+(1/324))+y^2= 1+18(1/324)

18(x+(1/18))^2+y^2=19/18

I need it to be in the form x^2/a^2 + y^2/b^2 = 1, then I can easily determine the coordinates of the center. Did I do something wrong? How do I get to this form? Thanks.

(This is for my Calc. II class and I asked in two other forums and got nothing...but I figured you guys would know about this due to applications in astrophysics.)

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# Homework Help: Finding the center of an Ellipse?

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