Leysa 75x^3+25x=2

$$75 { x }^{ 3 } +25x=2$$

Leystu fyrir x (complex solution)

$$x=\frac{25^{\frac{2}{3}}\left(1+\sqrt{3}i\right)\left(\sqrt[3]{\sqrt{706}+9}+2\sqrt[3]{\sqrt{706}-9}+\sqrt{3}\sqrt[3]{\sqrt{706}+9}i\right)}{300}\approx -0.039273112+0.581343672i$$

$$x=\frac{25^{\frac{2}{3}}\left(\sqrt[3]{\sqrt{706}+9}-\sqrt[3]{\sqrt{706}-9}\right)}{75}\approx 0.078546225$$

$$x=\frac{25^{\frac{2}{3}}\left(-\sqrt{3}i+1\right)\left(-\sqrt{3}\sqrt[3]{\sqrt{706}+9}i+\sqrt[3]{\sqrt{706}+9}+2\sqrt[3]{\sqrt{706}-9}\right)}{300}\approx -0.039273112-0.581343672i$$

Leystu fyrir x

$$x = \frac{25 ^ {\frac{2}{3}} {(\sqrt[3]{\sqrt{706} + 9} + \sqrt[3]{9 - \sqrt{706}})}}{75} \approx 0.078546225$$