"Find the coordinates of the points of intersection of the hyperbola defined by ((x-1)^2)/4 - ((y+2)^2)/9 = 1 and the line 5x + 12y = 0."

This is really an easy question but for some reason I keep getting it wrong so I must be doing a small mistake somewhere and after several repetitions, I still cannot spot my mistake!

The answer is: (-1.69, 0.71) and (3.06, -1.27)

If anyone could please do it for me, I'd greatly appreciated it!

Thanks in advance!