Question 877391
consecutive positive integers: x, (x+1)


x^2 - 17 = 4(x+1)
x^2 - 17 = 4x + 4
x^2 - 4x - 21 = 0
(x - 7)(x + 3) = 0
x = 7, x = -3


x has to be positive, so the integers are 7 and 8.