SOLUTION: The sum of two numbers is 18. The sum of their squares is at most 170. Find all integral pairs of the numbers that satisfy these conditions.

SOLUTION: The sum of two numbers is 18. The sum of their squares is at most 170. Find all integral pairs of the numbers that satisfy these conditions.

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Question 1038791: The sum of two numbers is 18. The sum of their squares is at most 170. Find all integral pairs of the numbers that satisfy these conditions.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
1.
2.
From 1,

Substituting into 2,

and
and

So then the integral pairs are,
(,)
(,)
(,)
(,)
(,)

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