i have the eqautions

5x^2 + 9y^2=45

16x^2-4y^2+64=0

how do i make these into the hyperbola and ellipse form

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- Sep 13th 2010, 04:22 PMlvcneed help with hyperbola and ellipse
i have the eqautions

5x^2 + 9y^2=45

16x^2-4y^2+64=0

how do i make these into the hyperbola and ellipse form - Sep 13th 2010, 04:53 PMpickslides

- Sep 13th 2010, 07:58 PMSoroban
Hello, lvc!

Quote:

We have: .

Divide by 64: .

(In the first one, just divide by 45.)

- Sep 14th 2010, 04:00 AMHallsofIvy
They are already in "hyerbola and ellipse form". What you mean is into "standard form".

Standard form for an ellipse is

and you have . Divide both sides by 45 to get "1" on the right.

Standard form for an ellipse is either or . You have which is the same as . (We cannot divide "0" by anything to get "1" so I subtracted 64 from both sides.) Divide both sides by -64 to get "1" on the right.