SOLUTION: I have a question on ellipses. The first problem is 20x^2+ 4y^2 = 5 and trying to get this in standard form. The second problem is trying to figure out is to find the intersection

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: I have a question on ellipses. The first problem is 20x^2+ 4y^2 = 5 and trying to get this in standard form. The second problem is trying to figure out is to find the intersection       Log On


   



Question 304840: I have a question on ellipses. The first problem is 20x^2+ 4y^2 = 5 and trying to get this in standard form. The second problem is trying to figure out is to find the intersection points of these two equations: (x^2/16 + y^2/9 = 1 and x^2/9 + y^2/16 = 1). The next 2 problems are hyperbolas that having an issue is x^2-y^2+4 = 0 trying to put in standard form. The last problem is trying to get this set of information into standard form with the following: Foci (+-3, 0) and the hyperbola passing through (4,1). Can you help me?
Answer by themathtutor2009(81) About Me  (Show Source):
You can put this solution on YOUR website!
One problem per post

20x%5E2%2B+4y%5E2+=+5


%2820x%5E2%2B+4y%5E2%29%2F5+=+1


x%5E2%2F4%2B+%284y%5E2%29%2F5+=+1


x%5E2%2F4%2B+%28y%5E2%29%2F%285%2F4%29+=+1




Equation is now in form %28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1