Answer
($-1$,$\sqrt 3$ ), ($-1$,$-\sqrt 3$), ($0$,$2$), ($0$,$-2$)
Work Step by Step
When graphing the two equations of the system:
$x^{2}+y^{2}=4$
$y^{2}-x=4$
We get a graph of a circle and a partial hyperbola. The points of intersection of those two graphs are occuring at four different locations;
($-1$,$1.732$ ), ($-1$,$-1.732$), ($0$,$2$), ($0$,$-2$)
Since the value $1.732$ is expressed as a decimal form of $\sqrt 3$,
The points of intersection are
($-1$,$\sqrt 3$ ), ($-1$,$-\sqrt 3$), ($0$,$2$), ($0$,$-2$)
