a) the diagram shows the graphs of y=x-1 and y=kx^2 where k is a positive constant.

The graphs intersect at 2 dinstinct points A and B.

Write down the quadratic equation satisfied by the x-coordinates of A and B, and hence show that k<1/4

b) Describe briefly the relashioship between the graphs of y=x-1 and y=kx^2 in each of the cases

i) k=1/4

ii) k<1/4

c) Show, by using a graphical argument of otherwise that when k is a negative constant, the equation x-1=kx^2 has 2 real roots, one of which lies between 0 and 1.

I need help in the last part of the Q. :confused:

I know that to show that the equation has 2 real roots we need to show that its determinant is greater than zero ,but how do we know that one of those points are between 0 and 1??