If the difference is 5 then you can say that one number is and the other is . Since their product is 2250, you can say:
A little algebra:
Just solve the quadratic for . Hint: it factors. Since this is a quadratic, you will get two roots. Check both against the parameters of the problem to determine if either or both answers are valid.
Extra credit: This problem could be solved using a slightly different quadratic equation. What is it?
John
My calculator said it, I believe it, that settles it
