Answer
$\left(1,2\right),\left(1,-2\right),\left(-1,2\right),\left(-1,-2\right)$.
Work Step by Step
1. The exercise does not limit the method to use.
2. Use graphing method, see graphs of $3x^2-2y^2+5=0$ and $2x^2-y^2+2=0$.
3. We can identify the intersect(s) $\left(1,2\right),\left(1,-2\right),\left(-1,2\right),\left(-1,-2\right)$.
4. Alternatively, one can multiply $-2$ to the 2nd equation and add the results to the 1st to eliminate variable $y$, then solve for $x$ to get $x=\pm1$