The correct answer for the question that is being presented above is this one: "The unknown positive integers are 3 and -12."
Eight times the square of a positive integer divided by two equals 144 minus 36 times the positive integer.
8 * x^2 / 2 = 144 - 36x
4*x^2 = 144 - 36 x
x^2 = 36 - 9x
x^2 + 9x - 36 = 0
(x - 3) (x + 12) = 0
x - 3 = 0
x = 3
x + 12 = 0
x = -12