\left\{ \begin{array} { l } { 1317 x _ { 1 } + 400 x _ { 2 } - 200 x _ { 3 } = 0 } \\ { 400 x _ { 1 } + 817 x _ { 2 } + 300 x _ { 3 } = 0 } \\ { x _ { 1 } ^ { 2 } + x _ { 2 } ^ { 2 } + x _ { 3 } ^ { 2 } = 1 } \end{array} \right.
Solve for x_1, x_2, x_3
x_{1}=-\frac{283400\sqrt{127230157569}}{381690472707}\approx -0.264839987\text{, }x_{2}=\frac{475100\sqrt{127230157569}}{381690472707}\approx 0.443985455\text{, }x_{3}=-\frac{915989\sqrt{127230157569}}{381690472707}\approx -0.856000407
x_{1}=\frac{283400\sqrt{127230157569}}{381690472707}\approx 0.264839987\text{, }x_{2}=-\frac{475100\sqrt{127230157569}}{381690472707}\approx -0.443985455\text{, }x_{3}=\frac{915989\sqrt{127230157569}}{381690472707}\approx 0.856000407
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