x^2/16-y^2/9=2x-y

Solution for x^2/16-y^2/9=2x-y equation:

x in (-oo:+oo)

t_1 = y-1/9*y^2

t_1+1/16*x^2-2*x = 0

t_1+1/16*x^2-2*x = 0

DELTA = (-2)^2-(1/16*4*t_1)

DELTA = 4-1/4*t_1

4-1/4*t_1 = 0

4-1/4*t_1 = 0 // - 4

-1/4*t_1 = -4 // : -1/4

t_1 = -4/(-1/4)

t_1 = 16

DELTA = 0  <=>  t_2 = 16

x = 2/(1/16*2) i t_1 = 16

x = 16 i t_1 = 16

( x = ((4-1/4*t_1)^(1/2)+2)/(1/16*2) or x = (2-(4-1/4*t_1)^(1/2))/(1/16*2) ) i t_1 > 16

( x = 8*((4-1/4*t_1)^(1/2)+2) or x = 8*(2-(4-1/4*t_1)^(1/2)) ) i t_1 > 16

t_1-16 > 0

t_1-16 > 0 // + 16

t_1 > 16

x in { 16, 8*((4-1/4*(y-1/9*y^2))^(1/2)+2), 8*(2-(4-1/4*(y-1/9*y^2))^(1/2)) }