Issolvi 14x^3-33x=1

$$14 x ^ { 3 } - 33 x = 1$$

Solvi għal x (complex solution)

$$x=-\frac{196^{\frac{2}{3}}\left(7+3\sqrt{2065}i\right)^{-\frac{1}{3}}\left(1+\sqrt{3}i\right)\left(7\left(7+3\sqrt{2065}i\right)^{\frac{2}{3}}\left(-\sqrt{3}i-1\right)+11\times 196^{\frac{2}{3}}\right)}{5488}\approx -1.519917041$$

$$x=\frac{196^{\frac{2}{3}}\left(7+3\sqrt{2065}i\right)^{-\frac{1}{3}}\left(14\left(7+3\sqrt{2065}i\right)^{\frac{2}{3}}+11\times 196^{\frac{2}{3}}\right)}{2744}\approx 1.55023189$$

$$x=-\frac{196^{\frac{2}{3}}\left(7+3\sqrt{2065}i\right)^{-\frac{1}{3}}\left(-\sqrt{3}i+1\right)\left(7\left(-1+\sqrt{3}i\right)\left(7+3\sqrt{2065}i\right)^{\frac{2}{3}}+11\times 196^{\frac{2}{3}}\right)}{5488}\approx -0.030314849-1.0665262 \cdot 10^{-16}i$$

Solvi għal x

$$x=-\frac{\sqrt{154}\left(\sqrt{3}\sin(\frac{\arccos(\frac{\sqrt{154}}{242})}{3})+\cos(\frac{\arccos(\frac{\sqrt{154}}{242})}{3})\right)}{14}\approx -1.519917041$$

$$x=\frac{\sqrt{154}\cos(\frac{\arccos(\frac{\sqrt{154}}{242})}{3})}{7}\approx 1.55023189$$

$$x=\frac{\sqrt{154}\left(\sqrt{3}\sin(\frac{\arccos(\frac{\sqrt{154}}{242})}{3})-\cos(\frac{\arccos(\frac{\sqrt{154}}{242})}{3})\right)}{14}\approx -0.030314849$$