Which of the Following Is a Critical Point of This $\left(\frac{5}{4}, \frac{1}{2}\right)$

Which of the following is a critical point of this nonlinear system?

Select all that apply.

A) $\left(\frac{5}{4}, \frac{1}{2}\right)$
B) $\left(-\frac{4}{5},-2\right)$
C) $\left[-\frac{5}{4}, \frac{1}{2}\right)$
D) $\left(\frac{5}{4},-\frac{1}{2}\right)$
E) $\left(\frac{4}{5}, 2\right)$
F) $\left(\frac{4}{5},-2\right)$
G) $\left(-\frac{5}{4},-\frac{1}{2}\right)$
H) $\left(-\frac{4}{5}, 2\right)$
I) $(0,0)$