Two parabolas are the graphs of the equations $y=2x^2-7x+1$ and $y=8x^2+5x+1$. Give all points where they intersect. List the points in order of increasing x-coordinate, separated by semicolons.
Where they intersect , they are equal....
2x^2 - 7x + 1 = 8x^2 + 5x + 1 gather all terms to one side and simplify
6x^2 + 12x = 0
6x ( x+2) = 0 so the 'x' coordinates of the two points of intersection are 0 and -2
use these values of 'x' in either of the equations to calculate the corresponding 'y' coordinates of the intersection points