x^3-x^2-7x-3=0

$$x ^ { 3 } - x ^ { 2 } - 7 x - 3 = 0$$

x üçün həll et (complex solution)

$$x=\frac{\sqrt{3}i\sqrt[3]{73+3\sqrt{591}i}}{6}-\frac{11\sqrt{3}i\left(73+3\sqrt{591}i\right)^{-\frac{1}{3}}}{3}-\frac{\sqrt[3]{73+3\sqrt{591}i}}{6}-\frac{11\left(73+3\sqrt{591}i\right)^{-\frac{1}{3}}}{3}+\frac{1}{3}\approx -1,877403746-3,885780586 \cdot 10^{-16}i$$

$$x=\frac{\sqrt[3]{73+3\sqrt{591}i}+22\left(73+3\sqrt{591}i\right)^{-\frac{1}{3}}+1}{3}\approx 3,353855785-1,480297366 \cdot 10^{-16}i$$

$$x=-\frac{\sqrt{3}i\sqrt[3]{73+3\sqrt{591}i}}{6}+\frac{11\sqrt{3}i\left(73+3\sqrt{591}i\right)^{-\frac{1}{3}}}{3}-\frac{\sqrt[3]{73+3\sqrt{591}i}}{6}-\frac{11\left(73+3\sqrt{591}i\right)^{-\frac{1}{3}}}{3}+\frac{1}{3}\approx -0,47645204+4,996003611 \cdot 10^{-16}i$$

x üçün həll et

$$x=\frac{-\sqrt{22}\cos(\frac{\arccos(\frac{73\sqrt{22}}{484})}{3})-\sqrt{66}\sin(\frac{\arccos(\frac{73\sqrt{22}}{484})}{3})+1}{3}\approx -1,877403746$$

$$x=\frac{2\sqrt{22}\cos(\frac{\arccos(\frac{73\sqrt{22}}{484})}{3})+1}{3}\approx 3,353855785$$

$$x=\frac{\sqrt{66}\sin(\frac{\arccos(\frac{73\sqrt{22}}{484})}{3})-\sqrt{22}\cos(\frac{\arccos(\frac{73\sqrt{22}}{484})}{3})+1}{3}\approx -0,47645204$$