The line y = 2x + 5 intersects the curve y = x^2 + 2x + 2 at the points P and Q ...

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The line y = 2x + 5 intersects the curve y = x^2 + 2x + 2 at the points P and Q
1. Find the coordinates of P and Q, giving your answers in surd form.
2. Find the area of the shaded region, giving your answer in surd form.

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    Substitute 2x + 5 in place of y in the curve equation and solve for x ...
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