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Let x and y be complex numbers.  If x + y = 2 and xy = 7 - x^2 - y^2, then what is x^2 + y^2?

 Jan 7, 2025

Best Answer 

 #1
avatar+28 
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We can square both sides of the first given equation to get (x+y)2=4. This can be simplified to x2+y2+2xy=4. Now, we can substitute xy into the equation and get x2+y2+142x22y2=4, which when simplified turns into x2+y2=10, so 10 Is the answer.
 Jan 7, 2025
 #1
avatar+28 
+1
Best AnswerWe can square both sides of the first given equation to get (x+y)2=4. This can be simplified to x2+y2+2xy=4. Now, we can substitute xy into the equation and get x2+y2+142x22y2=4, which when simplified turns into x2+y2=10, so 10 Is the answer.
Owinner Jan 7, 2025

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