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If: y = x^2 +2x +2 and y = 7 -2x

Then: x^2 +2x +2 = 7 -2x

Transposing terms: x^2 +4x -5 = 0

Factorizing the above: (x +5)(x -1) = 0 meaning x = -5 or x = 1

By substitution into original equations points of intersection are at: (-5, 17) and (1, 5)

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Q: What are the points of intersection of y equals 7 -2x with y equals x2 plus 2x plus 2?
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