Find Equation for Hyperbola or Ellipse

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  • #1
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Homework Statement




6x2 + 8y2 + 32y - 16 = 0

Homework Equations





The Attempt at a Solution



I think I made a mistake.

This is how far I got

4(x-4)^+3(y+9)^=120


I made a mistake. Can someone delete this thread?

What did I do wrong?
 
Last edited:

Answers and Replies

  • #2
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6,860

Homework Statement




6x2 + 8y2 + 32y - 16 = 0

Homework Equations





The Attempt at a Solution



I think I made a mistake.

This is how far I got

4(x-4)^+3(y+9)^=120


I made a mistake. Can someone delete this thread?

What did I do wrong?

I can't tell what you did wrong since you didn't show your work, but the equation you ended with isn't right.

6x2 + 8y2 + 32y - 16 = 0
<==> 6x2 + 8y2 + 32y = 16
Now complete the square in the y terms so that the equation becomes
[tex]\frac{x^2}{a^2} + \frac{(y - k)^2}{b^2} = 1[/tex]

Since there is no first-degree x term in the original equation, don't try to complete the square in the x terms.
 

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