x=1/2x^4-x^3-x^2+4x шешу

$$x = \frac { 1 } { 2 } x ^ { 4 } - x ^ { 3 } - x ^ { 2 } + 4 x$$

x мәнін табыңыз (complex solution)

$$x=\frac{\sqrt[3]{10}\left(\sqrt[3]{10}+1\right)e^{-\frac{\pi i}{3}}+2}{3}\approx 1.799337254-1.961843005i$$

$$x=0$$

$$x=\frac{\sqrt{3}\sqrt[3]{10}e^{\frac{7\pi i}{6}}+2\sqrt{3}e^{\frac{11\pi i}{6}}+\sqrt[3]{10}e^{\frac{2\pi i}{3}}-2\times 10^{\frac{2}{3}}-2}{6}\approx -2.098674508-0.288675135i$$

$$x=\frac{e^{\frac{\pi i}{3}}\left(\sqrt{3}\sqrt[3]{10}e^{\frac{7\pi i}{6}}+2\sqrt{3}e^{\frac{11\pi i}{6}}+\sqrt[3]{10}e^{\frac{5\pi i}{3}}+2\times 10^{\frac{2}{3}}+2\right)}{6}\approx 1.799337254+1.295329826i$$

x мәнін табыңыз

$$x=\frac{2-\sqrt[3]{10}-10^{\frac{2}{3}}}{3}\approx -1.598674508$$

$$x=0$$