The curve C 1 has equation y=a/x, where a is a positive constant. The curve C 2

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The curve C1 has equation y = −a/x, where a is a positive constant.

The curve C2 has equation y = (x − b)2, where b is a positive constant.

a. Sketch C1 and C2 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.

b. Using your sketch, state the number of real solutions to the equation x(x − 5)2 = 7.

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