You can put this solution on YOUR website! Call the smaller number x, so the larger integer is x + 1. The difference of their cubes is 631, so the equation is:
, expanding: : , now we have a quadratic equation that can be solved for x: , divide both sides by 3 to simplify: , this can be factored as
(x+15)(x-14) = 0. So, x can be 14 or -15. Since the problem doesn't specify if the integers are positive or negative, both solutions are fine: 14 and 15 or -14 and -15 are both acceptable. Check:
