Question 165000
Let x = first consecutive positive integer
then
x+1 = second consecutive positive integer
.
x^2 - 25 = 3(x+1)
x^2 - 25 = 3x+3
x^2 - 3 - 28 = 0
.
Factoring:
(x-7)(x+4) = 0
therefore,
x = {-4, 7}
.
Since we looking for POSITIVE integers then the solution MUST be:
7 and 8