Question 960069
consecutive positive integers: (x-1), x, (x+1)


(x+1)^2 = (x-1)^2 + x^2
x^2 + 2x + 1 = 2x^2 - 2x + 1
0 = x^2 - 4x
0 = x(x - 4)


the integers have to be positive ---> x = 4


The integers are 3, 4, and 5.