Find the range of values of 4*-21 <5-for all real values of x. The line y=x+k cuts the curve y^2- 2x exactly once. Find the value of k.
[4]

It is given that the curve with equation y=ax +bx+c, where a, b and c are constants passes
through the points with coordinates (1, 0.22), (1.1,0) and (2,-0.18).
(b) Find the values of a, b and c.
(it) Hence, using an algebraic approach, find the coordinates of the turning point of
the curve ​