Question

analyze this conic section to answer the questions below.
25x^2 + 36y^2 -350x + 325 =0

What type of conic sections is this equation
Circle Hyperbola Ellipse Parabola

Where is the center of the conic section?

What are the values of a and b for this conic section

what is the focus or foci for this conic section

What is the asymptotes for this conic section.

Answer 1

Do you have any idea?

Answer 2

Should I put it in a standard form

Answer 3

look like 25x^2 -35x +36y^2 =325

Answer 4

and I am stuck

Answer 5

@Mertsj

Answer 6

Let me give you a hint. The identifying characteristics are that the x^2 t andy^2 terms are both positive but the coefficients are not equal.
Look in your book for a conic section like that.

Answer 7

I am still confused. usually I would just do complete the square but like you said the coefficient are not equal and I don't have the book to figure it out.

Answer 8

http://hotmath.com/hotmath_help/topics/conic-sections-and-standard-forms-of-equations.html

Answer 9

You might be able to find it there.

Answer 10

I looked at it and i am thinking of a parabola which might be wrong

Answer 11

Does the parabola have both x^2 and y^2 in the same equation?

Answer 12

having that x^2 and y^2 is both positive it would be a ellipse since parabola dont have x^2 and y^2

Answer 13

Very good. it is an ellipse.

Answer 14

Now get the 325 over to the right side and complete the square.

Answer 15

So I got 25x^2-35x+(1225/4) +36y^2 = 325