SOLUTION: Find two numbers that differ by 6 and whose square roots differ by 1.

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Question 376685: Find two numbers that differ by 6 and whose square roots differ by 1.
Answer by solver91311(24713) About Me  (Show Source):
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Let represent one of the numbers and represent the other.





Separate the radicals:



Square both sides:



Add to both sides:



Substitute:



Square both sides:





And therefore



John

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