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If x + y = -5 and xy = 3, then what is x2+y2?

 May 15, 2024
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Solving for x and y, we get x and y are equal to -5/2 + sqrt(37)/2 and -5/2 - sqrt(37)/2 in some order.

 

Therefore, x^2 + y^2 = (-5/2 + sqrt(37)/2)^2 + (-5/2 - sqrt(37)/2)^2 = 31.

 May 15, 2024

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