Question: The line y = x + 1 0 intersects the curve y = x 2 - 3 x + 1 a t P and Q

The line y=x+10 intersects the curve y=x2-3x+1atP and Q.
(i) Find the coordinates ofP and Q.
Find the length ofPQ, leaving the answer in surd form.
The line y = x + 1 0 intersects the curve y = x 2

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