Question

At how many points does the graph of the function below intersect the x-axis? y = 2x^2-3x+1

Answer 1

`2x^2-3x+1=0\\ \Delta=(-3)^2-4\cdot2\cdot1=9-8=1`


`\Delta\ \textgreater \ 0` so there are two solutions, therefore two intersections with the x-axis.