\left\{ \begin{array} { l } { x y = 1 } \\ { x + y = \frac { 3 \sqrt { 2 } } { 2 } } \end{array} \right.

${xy=1x+y=232 $

Solve for x, y

x=\sqrt{2}\approx 1.414213562\text{, }y=\frac{\sqrt{2}}{2}\approx 0.707106781<br/>x=\frac{\sqrt{2}}{2}\approx 0.707106781\text{, }y=\sqrt{2}\approx 1.414213562

$x=2 ≈1.414213562,y=22 ≈0.707106781$

$x=22 ≈0.707106781,y=2 ≈1.414213562$

$x=22 ≈0.707106781,y=2 ≈1.414213562$

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