SOLUTION: The difference between two positive intergers is 8. If the smaller is added to the square of the larger, the sum is 124. Find the integers.

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Question 365363: The difference between two positive intergers is 8. If the smaller is added to the square of the larger, the sum is 124. Find the integers.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
L - S = 8,
S + L%5E2 = 124. By direct substitution, L - 8+L%5E2 = 124.
L%5E2%2BL-132+=+0,
%28L-11%29%28L%2B12%29+=+0. We eliminate the root -12 and accept only 11. The larger integer is 11, and the smaller number is 11 - 8 = 3.