Solve {l}{x^2-xy+6y^2=0}{20-2xy+y^2=0}

$$\left\{ \begin{array} { l } { x ^ { 2 } - x y + 6 y ^ { 2 } = 0 } \\ { 20 - 2 x y + y ^ { 2 } = 0 } \end{array} \right.$$

Solve for x, y (complex solution)

$$x=\frac{\sqrt{10}\times 23^{\frac{3}{4}}\left(\sqrt{23}\left(1-i\right)+\left(1+i\right)\right)}{46}\approx 4.184598528-2.74059571i\text{, }y=\sqrt{10}\times 23^{\frac{3}{4}}\left(\frac{1}{23}+\frac{1}{23}i\right)\approx 1.444002819+1.444002819i$$

$$x=\frac{\sqrt{10}\times 23^{\frac{3}{4}}\left(\sqrt{23}\left(-1-i\right)+\left(-1+i\right)\right)}{46}\approx -4.184598528-2.74059571i\text{, }y=\sqrt{10}\times 23^{\frac{3}{4}}\left(-\frac{1}{23}+\frac{1}{23}i\right)\approx -1.444002819+1.444002819i$$

$$x=\frac{\sqrt{10}\times 23^{\frac{3}{4}}\left(\sqrt{23}\left(-1+i\right)+\left(-1-i\right)\right)}{46}\approx -4.184598528+2.74059571i\text{, }y=\sqrt{10}\times 23^{\frac{3}{4}}\left(-\frac{1}{23}-\frac{1}{23}i\right)\approx -1.444002819-1.444002819i$$

$$x=\frac{\sqrt{10}\times 23^{\frac{3}{4}}\left(\sqrt{23}\left(1+i\right)+\left(1-i\right)\right)}{46}\approx 4.184598528+2.74059571i\text{, }y=\sqrt{10}\times 23^{\frac{3}{4}}\left(\frac{1}{23}-\frac{1}{23}i\right)\approx 1.444002819-1.444002819i$$