Posted by **Jodine** on Monday, January 12, 2009 at 7:30pm.

9x^2+16y^2+64y+28=0

I am supposed to convert this to standard form, but my answer doesn't make sense. One part was 9x^2/92...does that sound right?

- Math 30 Pure -
**Damon**, Monday, January 12, 2009 at 8:09pm
16 y^2 + 64 y = - 9 x^2-28

y^2 + 4 y = (- 9 x^2-28 )/16

y^2 + 4 y + 4 = (- 9 x^2-28 )/16 +64/16

(y+2)^2 = (-9 x^2 + 36 )/16

(y+2)^2 + (9/16) x^2 = 36/16

16/36 (y+2)^2 + 9/36 x^2 = 1

x^2/2^2 + (y+2)^2/(3/2)^2 = 1

ellipse with center at (0,-2)

x half axis length 2

y half axis length = 1.5

- Math 30 Pure -
**Andrew**, Tuesday, April 28, 2009 at 6:11pm
Shouldn't it equal zero anyway because what does Y equal?

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