Find two numbers whose sum is 3 and the sum of their squares is 5.

The answer to this question is: these are numbers 1 and 2.

Proof:

1) Find the sum of these two numbers:

1 + 2 = 3 (the first condition is satisfied);

2) Find the squares of these numbers:

1 ^ 2 = 1;

2 ^ 2 = 4.

3) Find the sum of the squares of these numbers:

1 + 4 = 5 (the second condition is satisfied).

The correctness of the answer has been proven.



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