What is the transverse axis of the following equation?

25x^2+250x-36y^2-576y=2579

2 answers

25(x^2 + 10x) - 36(y^2 + 16y) = 2579
Complete the squares:

25(x^2 + 10x + 25) - 25*25 - 36(y^2 + 16y + 64) + 36*64 = 2579

25(x+5)^2 - 36(y+8)^2 = 900

How convenient . . .

(x+5)^2/36 - (y+8)^2/25 = 1

Looks like an hyperbola with center at (-5,-8) and horizontal transverse axis

y = -8.
Thank you steve