使用替换法求解 \left\{ \begin{array}{l}\sqrt{x}+\sqrt{y}=6\\\sqrt{xy}=8\end{array}\right.

\begin{align}&\left(x_{1},y_{1}\right) = \left(16,4\right)\\&\left(x_{2},y_{2}\right) = \left(4,16\right)\end{align}

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问题 :

begin{arraylsqrtx+sqrty=6sqrtxy=8endarray.

{x + y = 6 x y = 8

(x_{1}, y_{1}) = (16, 4) (x_{2}, y_{2}) = (4, 16)

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