Answer
see graph; $(0,-2)$ and $(0,2)$
Work Step by Step
Step 1. Given equations $4x^2+y^2=4$ and $y^2-4x^2=4$, we can graph both equations as shown in the figure.
Step 2. We can identify two intersection points $(0,-2)$ and $(0,2)$ as solutions to the system.
Step 3. Check the solutions with the first equation; we have $4(0)^2+(-2)^2=4$ and $4(0)^2+(2)^2=4$
Step 4. Check the solutions with the second equation; we have $(-2)^2-4(0)^2=4$ and $(2)^2-4(0)^2=4$
