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If: y = x^2 -10x +13 and y = x^2 -4x +7

Then: x^2 -10x +13 = x^2 -4x +7

Transposing terms: -6x +6 = 0 => -6x = -6 => x = 1

Substituting the value of x into the original equations point of contact is at: (1, 4)

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