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Find all pairs of real numbers $(x,y)$ such that $x + y = 6$ and $x^2 + y^2 = 28$. If you find more than one pair, then list your pairs in order by increasing $x$ value, separated by commas. For example, to enter the solutions $(2,4)$ and $(-3,9)$, you would enter "(-3,9),(2,4)" (without the quotation marks).

 Aug 6, 2022
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Oh! I got it! the correct answer is $(3-sqrt(5), 3+sqrt(5)), (3+sqrt(5), 3-sqrt(5))$

 Aug 6, 2022

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