Find the coordinates of points of intersection of and
Have you tried anything at all? At a "point" of intersection, (x,y) the coordinates must satisfy both equations so
Solve that equation for x and then use either of the given equations to find y.
The equation for x will be a cubic polynomial that has no rational roots so solving it is going to be difficult.
The alternative is to do it by hand by applying an iterative procedure (but I suppose you would have no knowledge of how to do this either).
Until you can clarify the expectations of the person who set this question, it is pointless discussing the question further.