x^3+4x+8=0 Denklemini Çözme

$$x ^ { 3 } + 4 x + 8 = 0$$

x için çözün (complex solution)

$$x=\frac{\sqrt[3]{4}\times 9^{\frac{2}{3}}\left(1+\sqrt{3}i\right)\left(2\sqrt[3]{\sqrt{93}+9}+\sqrt[3]{\sqrt{93}-9}+\sqrt[3]{9\left(\sqrt{31}-3\sqrt{3}\right)}i\right)}{36}\approx 0,682327804+2,3230828i$$

$$x=\frac{\sqrt[3]{4}\times 9^{\frac{2}{3}}\left(\sqrt[3]{\sqrt{93}-9}-\sqrt[3]{\sqrt{93}+9}\right)}{9}\approx -1,364655608$$

$$x=\frac{\sqrt[3]{4}\times 9^{\frac{2}{3}}\left(-\sqrt{3}i+1\right)\left(-\sqrt[3]{9\left(\sqrt{31}-3\sqrt{3}\right)}i+2\sqrt[3]{\sqrt{93}+9}+\sqrt[3]{\sqrt{93}-9}\right)}{36}\approx 0,682327804-2,3230828i$$

x için çözün

$$x=\frac{\sqrt[3]{4}\times 9^{\frac{2}{3}}\left(\sqrt[3]{\sqrt{93}-9}-\sqrt[3]{\sqrt{93}+9}\right)}{9}\approx -1,364655608$$