Let represent the larger of the two positive numbers. Let represent the smaller of the two positive numbers.
The difference is 6, so:
The larger number squared is: and the smaller number squared is:
And the sum of the two squares is then:
In standard form:
Divide by 2:
Solve for to get the larger number. Subtract 6 to get the smaller. Hint: The quadratic factors. You will get two roots. Exclude the negative root because the problem says you are looking for a positive integer.
