find the coordinates of P and Q

the line x+y=9 and the curve with equation y=x^2-2x+3 ibtersect at the points P and Q. find the coordibates of P and Q and hence find the area of the finite region bounded by the curve and the line.
in Other Math Topics by Level 2 User (1.3k points)

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1 Answer

1...x+y=9 or y=9-x

2...y=x^2-2x+3

x^2-2x+3=9-x

x^2 -2x+x +3-9=0

x^2 -x -6=0

x=3 or x=-2
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