समाधान {l}{3x^{2}+4y^2=76}{3x^2-y^2x^2=4}

$$\left. \begin{array} { l } { 3 x ^ { 2 } + 4 y ^ { 2 } = 76 } \\ { 3 x ^ { 2 } - y ^ { 2 } x ^ { 2 } = 4 } \end{array} \right.$$

x, y को लागि हल गर्नुहोस् (complex solution)

$$x=\frac{2\sqrt{3\left(\sqrt{67}+8\right)}}{3}\approx 4.645478486\text{, }y=\sqrt{11-\sqrt{67}}\approx 1.677691041$$

$$x=\frac{2\sqrt{3\left(\sqrt{67}+8\right)}}{3}\approx 4.645478486\text{, }y=-\sqrt{11-\sqrt{67}}\approx -1.677691041$$

$$x=-\frac{2\sqrt{3\left(\sqrt{67}+8\right)}}{3}\approx -4.645478486\text{, }y=\sqrt{11-\sqrt{67}}\approx 1.677691041$$

$$x=-\frac{2\sqrt{3\left(\sqrt{67}+8\right)}}{3}\approx -4.645478486\text{, }y=-\sqrt{11-\sqrt{67}}\approx -1.677691041$$

$$x=\frac{2i\sqrt{3\left(\sqrt{67}-8\right)}}{3}\approx 0.497128785i\text{, }y=\sqrt{\sqrt{67}+11}\approx 4.380108763$$

$$x=\frac{2i\sqrt{3\left(\sqrt{67}-8\right)}}{3}\approx 0.497128785i\text{, }y=-\sqrt{\sqrt{67}+11}\approx -4.380108763$$

$$x=-\frac{2i\sqrt{3\left(\sqrt{67}-8\right)}}{3}\approx -0-0.497128785i\text{, }y=\sqrt{\sqrt{67}+11}\approx 4.380108763$$

$$x=-\frac{2i\sqrt{3\left(\sqrt{67}-8\right)}}{3}\approx -0-0.497128785i\text{, }y=-\sqrt{\sqrt{67}+11}\approx -4.380108763$$

x, y को लागि हल गर्नुहोस्

$$x=-\frac{2\sqrt{3\left(\sqrt{67}+8\right)}}{3}\approx -4.645478486\text{, }y=-\sqrt{11-\sqrt{67}}\approx -1.677691041$$

$$x=-\frac{2\sqrt{3\left(\sqrt{67}+8\right)}}{3}\approx -4.645478486\text{, }y=\sqrt{11-\sqrt{67}}\approx 1.677691041$$

$$x=\frac{2\sqrt{3\left(\sqrt{67}+8\right)}}{3}\approx 4.645478486\text{, }y=-\sqrt{11-\sqrt{67}}\approx -1.677691041$$

$$x=\frac{2\sqrt{3\left(\sqrt{67}+8\right)}}{3}\approx 4.645478486\text{, }y=\sqrt{11-\sqrt{67}}\approx 1.677691041$$