Question 81931
rearranging and separating terms gives 25x^2-50x=4y^2+16y+59 


completing the squares and factoring gives 25(x-1)^2=4(y+2)^2+43+25 rearranging again gives 25(x-1)^2-4(y+2)^2=68


the general form of a hyperbola is {{{(((x-h)^2)/a)-(((y-k)^2)/b)=1}}} where (h,k) is the center


the center of this hyperbola is (1,-2)