# Thread: Pre-cal equations in standard form?

1. ## Pre-cal equations in standard form?

How do I put these equations into standard form following the form of circles, ellipses and hyperbolic forms?

25x^2 + 25x^2 = 100

25x^2 - 4y^2 = 100

This should be the form EX.

x^2 y^2
------ + ------- = 1
36 9

Thanks =)

the x is supposed to be over the 36 and the y is supposed to be over the 9. Can't seem to figure how to do that

2. Originally Posted by HippieChic
How do I put these equations into standard form following the form of circles, ellipses and hyperbolic forms?

25x^2 + 25x^2 = 100

25x^2 - 4y^2 = 100

This should be the form EX.

x^2 y^2
------ + ------- = 1
36 9

Thanks =)

the x is supposed to be over the 36 and the y is supposed to be over the 9. Can't seem to figure how to do that
To put the equations in their standard form, you simply divide by the number on the righthand side of the equation:

$25x^2 + 25y^2 = 100 \Longrightarrow \frac{25x^{2}}{100} + \frac{25y^{2}}{100} = 1 \Longrightarrow \frac{x^{2}}{4} + \frac{y^{2}}{4} = 1\mbox{..........this is an ellipse}$

$25x^2 - 4y^2 = 100 \Longrightarrow \frac{25x^{2}}{100} - \frac{4y^{2}}{100} = 1 \Longrightarrow \frac{x^{2}}{4} - \frac{y^{2}}{25} = 1\mbox{..........this is a hyperbola}$