Need help with these...or more like I forget algebra.

$\displaystyle 4y^2 - x^2 = 1$

$\displaystyle 4y^2 + x^2 = 1$

Thanks.

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- Nov 12th 2009, 07:38 AMMr.BerlinHyperbola and Elipse Equations
Need help with these...or more like I forget algebra.

$\displaystyle 4y^2 - x^2 = 1$

$\displaystyle 4y^2 + x^2 = 1$

Thanks. - Nov 12th 2009, 08:48 AMbigwave
$\displaystyle 4y^2 - x^2 = 1$

this is a hyperbola with the foci on the y axis

you can ussually tell by the - sign in between

the general equation is:

$\displaystyle \frac{y^2}{a^2} - \frac{x^2}{b^2} = 1$

where $\displaystyle b^2 = c^2 - a^2$

$\displaystyle c > a, c > b$

$\displaystyle 4y^2+ x^2 = 1$

this is an ellipse

the general equation is:

$\displaystyle \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$

where $\displaystyle b^2 = a^2 - c^2$

$\displaystyle a > b, a > c$ - Nov 12th 2009, 12:40 PMMr.Berlin
Yeah, so I have to eliminate the coefficient. Thats' what I can't remember how to do.

- Nov 12th 2009, 12:51 PMbigwave
basically

complete the square - Nov 12th 2009, 01:23 PMMr.Berlin