SOLUTION: The difference between two positive integers is 4. If the smaller is added to the square of the larger, the sum is 338. Find the intgers.

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Question 1041323: The difference between two positive integers is 4. If the smaller is added to the square of the larger, the sum is 338. Find the intgers.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x and y, x%3Cy;

system%28y-x=4%2Cx%2By%5E2=338%29

x=y-4
-
%28y-4%29%2By%5E2=338
y%5E2%2By-342=0
-
342=6%2A57=6%2A3%2A19=18%2A19
-
%28y-18%29%28y%2B19%29=0
highlight%28y=18%29 because we are interested in the positive solutions.
and
highlight%28x=14%29.