Thread: curves intersecting at the origin

i have to show how many times the curves intersect at the origin

y^4 = x^ 3 and x^2y^3 - y^2+ 2x^7= 0

i dont really know how to start solving this

Did you mean (x^2y)^3 - y^2+ 2x^7= 0
or x^(2y^3) - y^2+ 2x^7= 0
or (x^2)*(y^3) - y^2+ 2x^7= 0
or other?

hope this helps
bye