yx+2y=2; y^2+=x

$$x_{1} = \left(\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1 + \frac{\sqrt{105}}{9}} - \frac{2}{3 \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1 + \frac{\sqrt{105}}{9}}}\right)^{2}$$
=
$$\frac{3^{\frac{2}{3}} \left(- 8 \sqrt[3]{3} + \left(1 + \sqrt{3} i\right)^{2} \left(9 + \sqrt{105}\right)^{\frac{2}{3}}\right)^{2}}{36 \left(1 + \sqrt{3} i\right)^{2} \left(9 + \sqrt{105}\right)^{\frac{2}{3}}}$$
=

-2.29715650817742 + 1.20562515060291*i

$$y_{1} = \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1 + \frac{\sqrt{105}}{9}} - \frac{2}{3 \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1 + \frac{\sqrt{105}}{9}}}$$
=
$$\frac{\sqrt[3]{3} \left(8 \sqrt[3]{3} - \left(1 + \sqrt{3} i\right)^{2} \left(9 + \sqrt{105}\right)^{\frac{2}{3}}\right)}{6 \left(1 + \sqrt{3} i\right) \sqrt[3]{9 + \sqrt{105}}}$$
=

-0.385458498529624 - 1.56388451052696*i

$$x_{2} = \left(- \frac{2}{3 \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1 + \frac{\sqrt{105}}{9}}} + \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1 + \frac{\sqrt{105}}{9}}\right)^{2}$$
=
$$\frac{3^{\frac{2}{3}} \left(- 8 \sqrt[3]{3} + \left(1 - \sqrt{3} i\right)^{2} \left(9 + \sqrt{105}\right)^{\frac{2}{3}}\right)^{2}}{36 \left(1 - \sqrt{3} i\right)^{2} \left(9 + \sqrt{105}\right)^{\frac{2}{3}}}$$
=

-2.29715650817742 - 1.20562515060291*i

$$y_{2} = - \frac{2}{3 \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1 + \frac{\sqrt{105}}{9}}} + \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1 + \frac{\sqrt{105}}{9}}$$
=
$$\frac{\sqrt[3]{3} \left(8 \sqrt[3]{3} - \left(1 - \sqrt{3} i\right)^{2} \left(9 + \sqrt{105}\right)^{\frac{2}{3}}\right)}{6 \left(1 - \sqrt{3} i\right) \sqrt[3]{9 + \sqrt{105}}}$$
=

-0.385458498529624 + 1.56388451052696*i

$$x_{3} = \left(- \frac{2}{3 \sqrt[3]{1 + \frac{\sqrt{105}}{9}}} + \sqrt[3]{1 + \frac{\sqrt{105}}{9}}\right)^{2}$$
=
$$\frac{3^{\frac{2}{3}} \left(- \left(9 + \sqrt{105}\right)^{\frac{2}{3}} + 2 \sqrt[3]{3}\right)^{2}}{9 \left(9 + \sqrt{105}\right)^{\frac{2}{3}}}$$
=

0.594313016354849

$$y_{3} = - \frac{2}{3 \sqrt[3]{1 + \frac{\sqrt{105}}{9}}} + \sqrt[3]{1 + \frac{\sqrt{105}}{9}}$$
=
$$\frac{\sqrt[3]{3} \left(- 2 \sqrt[3]{3} + \left(9 + \sqrt{105}\right)^{\frac{2}{3}}\right)}{3 \sqrt[3]{9 + \sqrt{105}}}$$
=

0.770916997059248