Løs x^3-(15div2)x^2-10x+3=0

$${ x }^{ 3 } -(15 \div 2) { x }^{ 2 } -10x+3=0$$

Løs for x (complex solution)

$$x=-\frac{3^{\frac{2}{3}}\left(1917+2\sqrt{221934}i\right)^{-\frac{1}{3}}\left(1+\sqrt{3}i\right)\left(3\sqrt[6]{3}\sqrt[3]{1917+2\sqrt{221934}i}\left(-i\sqrt[3]{1917+2\sqrt{221934}i}+5\times 3^{\frac{2}{3}}i\right)-15\sqrt[3]{3\left(1917+2\sqrt{221934}i\right)}-\left(3\left(1917+2\sqrt{221934}i\right)\right)^{\frac{2}{3}}+690\right)}{72}\approx -1,37319999-4,934324554 \cdot 10^{-16}i$$

$$x=\frac{3^{\frac{2}{3}}\left(1917+2\sqrt{221934}i\right)^{-\frac{1}{3}}\left(15\sqrt[3]{3\left(1917+2\sqrt{221934}i\right)}+\left(3\left(1917+2\sqrt{221934}i\right)\right)^{\frac{2}{3}}+345\right)}{18}\approx 8,619749691-1,973729822 \cdot 10^{-16}i$$

$$x=-\frac{3^{\frac{2}{3}}\left(1917+2\sqrt{221934}i\right)^{-\frac{1}{3}}\left(-\sqrt{3}i+1\right)\left(3\sqrt[6]{3}\sqrt[3]{1917+2\sqrt{221934}i}\left(i\sqrt[3]{1917+2\sqrt{221934}i}-5\times 3^{\frac{2}{3}}i\right)-15\sqrt[3]{3\left(1917+2\sqrt{221934}i\right)}-\left(3\left(1917+2\sqrt{221934}i\right)\right)^{\frac{2}{3}}+690\right)}{72}\approx 0,253450299+7,524844945 \cdot 10^{-16}i$$

Løs for x

$$x=\frac{-3\sqrt{115}\sin(\frac{\arccos(\frac{639\sqrt{345}}{13225})}{3})-\sqrt{345}\cos(\frac{\arccos(\frac{639\sqrt{345}}{13225})}{3})+15}{6}\approx -1,37319999$$

$$x=\frac{2\sqrt{345}\cos(\frac{\arccos(\frac{639\sqrt{345}}{13225})}{3})+15}{6}\approx 8,619749691$$

$$x=\frac{3\sqrt{115}\sin(\frac{\arccos(\frac{639\sqrt{345}}{13225})}{3})-\sqrt{345}\cos(\frac{\arccos(\frac{639\sqrt{345}}{13225})}{3})+15}{6}\approx 0,253450299$$