Question

Find the center and vertices of the hyperbola.
11x^2 - 25y^2 - 110x + 150y - 225 = 0

Answer 1

Oh man...they have to give a nasty problem like this, don't they.

Answer 2

1. Put the 225 on the right side.
2. Group 11x^2 and -110 x and factor out 11
3. Complete the square.

Answer 3

4. Group the -25y^2 and the150 y
5. factor out -25
6. Complete the square.

Answer 4

7. Factor both trinomials.
8. Divide both sides by 225