SOLUTION: find three numbers in continued proportion such that their sum is 14 and sum of their squares is 84.

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Question 824217: find three numbers in continued proportion such that their sum is 14 and sum of their squares is 84.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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find three numbers in continued proportion such that their sum is 14 and sum of their squares is 84.
:
Not many integers that will satisfy this, just thinking about it, came up with:
a + b + c = 14
2, 4, 8
:
a^2 + b^2 + c^2 = 84
4 + 16 + 64