4. The curve C, has equation y on where a is a positive constant. The curve C, has
equation y
(x - b), where b is a positive constant.
a) Sketch C, and C, on the same set of axes. Label any points where either curve meets the
coordinate axes, giving your coordinates in terms of a and b.
(4)
b) Using your sketch, state the number of real solutions to the equation x(x – 5)=- 7.
(1)