SOLUTION: How do i get rid of a coefficent in order to make the equations for ellipses and hyperbolas in standard form? like in the problem: 25(x+4)2 + (y-1)2 = -75

Question 189717: How do i get rid of a coefficent in order to make the equations for ellipses and hyperbolas in standard form? like in the problem: 25(x+4)2 + (y-1)2 = -75
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How do i get rid of a coefficent in order to make the equations for ellipses and hyperbolas in standard form? like in the problem: 25(x+4)2 + (y-1)2 = -75
------------------------
If that 75 is really negative you do not have an ellipse or a hyperpola.
------------------------
If the 75 is positive you get the following:
25(x+4)^2 + (y-1)^2 = 75
Divide by 75 to get:
(x+4)^2/3 + (y-1)^2/75 = 1
=================================
Cheers,
Stan H.

RELATED QUESTIONS
I have a question on ellipses. The first problem is 20x^2+ 4y^2 = 5 and trying to get... (answered by themathtutor2009)

I have a test tomorrow that I really hope to do well on. But I seriously do not... (answered by AnlytcPhil)

Hello, I need a quick brush-up on ellipses: find center of ellipse x^2+4y+6x-8y+9=0 (answered by lwsshak3)

Write the equation for the hyperbola in standard form and general form. center (4,0),... (answered by MathLover1)

How do I get rid of the parentheses? This is solving equations by factoring. x(x-5)=0 (answered by ewatrrr)

ellipse problem #11 find vertices, foci 2x^2+y^2=3 I can't figure out how to put in... (answered by Nate)

Thanks again for your help in advance. I need to double check my work. I have to write... (answered by jim_thompson5910,stanbon)

Hey there, I have been given a simultaneous equations hwk, and have been doing fine up... (answered by ikleyn)

If x= t+2 and y= 3t-4 what is the equation in rectangular form? I know I have to get rid... (answered by Fombitz)