4x^3-30x^2+70x-18=0

$$4 x ^ { 3 } - 30 x ^ { 2 } + 70 x - 18 = 0$$

x üçün həll et (complex solution)

$$x=-\frac{3^{\frac{5}{6}}\times 9^{\frac{2}{3}}\left(1+\sqrt{3}i\right)\left(\left(-\sqrt[3]{\sqrt{82569}-288}+2\sqrt[3]{-\sqrt{82569}-288}\right)\sqrt[6]{3}-\sqrt[3]{9\left(\sqrt{82569}-288\right)}i+5\sqrt[3]{9}\times 3^{\frac{2}{3}}i-5\sqrt[3]{9}\sqrt[6]{3}\right)}{216}\approx 3,291210697-1,731397254i$$

$$x=\frac{9^{\frac{2}{3}}\left(\sqrt[3]{\sqrt{82569}-288}+\sqrt[3]{-\sqrt{82569}-288}+5\sqrt[3]{9}\right)}{18}\approx 3,603828657+1,911887317i$$

$$x=-\frac{3^{\frac{5}{6}}\times 9^{\frac{2}{3}}\left(-\sqrt{3}i+1\right)\left(\left(-\sqrt[3]{\sqrt{82569}-288}+2\sqrt[3]{-\sqrt{82569}-288}\right)\sqrt[6]{3}+\sqrt[3]{9\left(\sqrt{82569}-288\right)}i-5\sqrt[3]{9}\times 3^{\frac{2}{3}}i-5\sqrt[3]{9}\sqrt[6]{3}\right)}{216}\approx 0,604960645-0,180490063i$$

x üçün həll et

$$x=-\frac{9^{\frac{2}{3}}\sqrt[3]{\sqrt{82569}+288}}{18}-\frac{9^{\frac{2}{3}}\sqrt[3]{288-\sqrt{82569}}}{18}+\frac{5}{2}\approx 0,292342685$$