The sum of 2 consecutive positive integers and their product is 271. Find the intergers

x + (x+1) + x(x+1) = 271

2x + 1 + x^2 + x = 271

x^2 + 3x – 270 = 0

(x+18) (x-15)

x = -18 or x = 15

(x+1) = – 17 or x = 16

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