Best AnswerWe can square both sides of the first given equation to get $(x+y)^2=4$. This can be simplified to $x^2+y^2+2xy=4$. Now, we can substitute xy into the equation and get $x^2+y^2+14-2x^2-2y^2=4$, which when simplified turns into $x^2+y^2=10$, so 10 Is the answer.
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