Leysa {l}{2x^2+y=0}{x^2+y^2=4}

$$\left. \begin{array} { l } { 2 x ^ { 2 } + y = 0 } \\ { x ^ { 2 } + y ^ { 2 } = 4 } \end{array} \right.$$

Leystu fyrir x, y (complex solution)

$$x=\frac{\sqrt{2\sqrt{65}-2}}{4}\approx 0.939564909\text{, }y=\frac{1-\sqrt{65}}{4}\approx -1.765564437$$

$$x=-\frac{\sqrt{2\sqrt{65}-2}}{4}\approx -0.939564909\text{, }y=\frac{1-\sqrt{65}}{4}\approx -1.765564437$$

$$x=\frac{i\sqrt{2\sqrt{65}+2}}{4}\approx 1.064322422i\text{, }y=\frac{\sqrt{65}+1}{4}\approx 2.265564437$$

$$x=-\frac{i\sqrt{2\sqrt{65}+2}}{4}\approx -0-1.064322422i\text{, }y=\frac{\sqrt{65}+1}{4}\approx 2.265564437$$

Leystu fyrir x, y

$$x=-\frac{\sqrt{2\sqrt{65}-2}}{4}\approx -0.939564909\text{, }y=\frac{1-\sqrt{65}}{4}\approx -1.765564437$$

$$x=\frac{\sqrt{2\sqrt{65}-2}}{4}\approx 0.939564909\text{, }y=\frac{1-\sqrt{65}}{4}\approx -1.765564437$$