The curve with equation y=px2−4px−5py = px^2 - 4px - 5py=px2−4px−5p, where p p\,p is a constant does not intersect the line with equation y=2x−12y = 2x - 12y=2x−12.
Show that 9p2−8p+1<09p^2 - 8p + 1 < 09p2−8p+1<0
Find the set of possible values for ppp.