Question 1106395: 1) Find three numbers in G.P. Whose sum ir 13 and the sum of whose squares is 91.
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
1, 3, and 9.
If the sum of the three numbers and the sum of the squares of the three numbers are both integers, then each of the numbers is almost certain to be an integer.
A very little time playing with geometric progressions of three integers finds the answer.
If you need an algebraic solution, re-post the question, specifying that you need an algebraic solution.
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