Quadratics
(N15V1#6)
25 A curve has equation y = x²-x+3 and a line has equation y = 3x+a, where a is a constant.
(i) Show that the x-coordinates of the points of intersection of the line and the curve are given by
the equation x²-4x+(3- a) = 0.
[1]
(ii) For the case where the line intersects the curve at two points, it is given that the x-coordinate of
one of the points of intersection is -1. Find the x-coordinate of the other point of intersection.
[2]