Solve {l}{(frac{2sqrt{3}}{3}x)^{2}+x^2=9}{(3+x)^2+(frac{2sqrt{3}}{3}a)^2=4a^2}

\left\{ \begin{array} { l } { ( \frac { 2 \sqrt { 3 } } { 3 } x ) ^ { 2 } + x ^ { 2 } = 9 } \\ { ( 3 + x ) ^ { 2 } + ( \frac { 2 \sqrt { 3 } } { 3 } a ) ^ { 2 } = 4 a ^ { 2 } } \end{array} \right.

Solve for x, a

x=-\frac{3\sqrt{21}}{7}\approx -1.963961012\text{, }a=\frac{9\sqrt{14}}{28}-\frac{3\sqrt{6}}{4}\approx -0.634441718

x=-\frac{3\sqrt{21}}{7}\approx -1.963961012\text{, }a=\frac{3\sqrt{6}}{4}-\frac{9\sqrt{14}}{28}\approx 0.634441718

x=\frac{3\sqrt{21}}{7}\approx 1.963961012\text{, }a=-\frac{3\sqrt{6}}{4}-\frac{9\sqrt{14}}{28}\approx -3.039792896

x=\frac{3\sqrt{21}}{7}\approx 1.963961012\text{, }a=\frac{3\sqrt{6}}{4}+\frac{9\sqrt{14}}{28}\approx 3.039792896

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\left\{ \begin{array} { l } { ( \frac { 2 \sqrt { 3 } } { 3 } x ) ^ { 2 } + x ^ { 2 } = 9 } \\ { ( 3 + x ) ^ { 2 } + ( \frac { 2 \sqrt { 3 } } { 3 } a ) ^ { 2 } = 4 a ^ { 2 } } \end{array} \right.

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