SOLUTION: Solve: The difference of two postive number is 5 and the sum of their squares is 233. What are the numbers?

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Question 255920: Solve:
The difference of two postive number is 5 and the sum of their squares is 233. What are the numbers?
Answer by solver91311(24713) About Me  (Show Source):
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Let represent the larger of the two numbers.

Let represent the smaller of the two numbers.



Therefore:



But



Therefore, by substitution:







Solve the quadratic and discard the negative root. The larger number is the positive root.

John