4x^2-25y^2-8x-100y-196=0 how do i find the conic section to find the center?

3 answers

complete the square

4x^2-25y^2-8x-100y-196=0
4(x^2 - 2x + ....) - 25(y^2 + 4y + ....) = 196
4(x^2 - 2x + 1) - 25(y^2 + 4y + 4....) = 196 + 4 + 100</b)
4(x-1)^2 - 25(y+2)^2 = 300

(x-1)^2/75 - (y+2)^2/12 = 1

do you recognize this conic?
Can you determine the centre?

x^2+y ^2+ 4x + 6y - 12 = 0 how do i find the domain
are you the same person as bbb ?
Do not switch names.
Start a new post for a new question..

Try completing the square like I just showed you, from there you should be able to find the centre and the radius.

The domain is easy after that