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The graphs of the two equations will intersect when x² + 20x + 100 = y = x² - 20x + 100

Subtracting x² +100 from both sides you get 20x = -20x

that will only be true when x = 0.

At x = 0, y = 100 for both equations - so the point of contact would be

(0,100)

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Q: What is the point of contact between the curves of y equals x squared plus 20x plus 100 and y equals x squared -20x plus 100?
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