Hyperbola is at the center of coordinate system. Its foci (?) are on abscissa. There are two points on the hyperbola; these are $\displaystyle T_1(\frac{3\sqrt5}{2},2)$ and $\displaystyle T_2(4,\frac{4\sqrt7}{9})$. What is hyperbola's equation?

(I'm having trouble with solving two equations that follow(Headbang).)