Zgjidh {l}{-2x^3=15}{y=x}{z=y}{text{Solvefor}atext{where}}{a=z}

$$\left. \begin{array} { l } { -2 x ^ {3} = 15 }\\ { y = x }\\ { z = y }\\ { \text{Solve for } a \text{ where} } \\ { a = z } \end{array} \right.$$

Gjej x, y, z, a (complex solution)

$$x=\frac{\sqrt[3]{15}\times 2^{\frac{2}{3}}e^{\frac{\pi i}{3}}}{2}\approx 0.97871691+1.695187415i\text{, }y=\frac{\sqrt[3]{15}\times 2^{\frac{2}{3}}e^{\frac{\pi i}{3}}}{2}\approx 0.97871691+1.695187415i\text{, }z=\frac{\sqrt[3]{15}\times 2^{\frac{2}{3}}e^{\frac{\pi i}{3}}}{2}\approx 0.97871691+1.695187415i\text{, }a=\frac{\sqrt[3]{15}\times 2^{\frac{2}{3}}e^{\frac{\pi i}{3}}}{2}\approx 0.97871691+1.695187415i$$

$$x=-\frac{\sqrt[3]{15}\times 2^{\frac{2}{3}}}{2}\approx -1.957433821\text{, }y=-\frac{\sqrt[3]{15}\times 2^{\frac{2}{3}}}{2}\approx -1.957433821\text{, }z=-\frac{\sqrt[3]{15}\times 2^{\frac{2}{3}}}{2}\approx -1.957433821\text{, }a=-\frac{\sqrt[3]{15}\times 2^{\frac{2}{3}}}{2}\approx -1.957433821$$

$$x=\frac{\sqrt[3]{15}\times 2^{\frac{2}{3}}e^{\frac{5\pi i}{3}}}{2}\approx 0.97871691-1.695187415i\text{, }y=\frac{\sqrt[3]{15}\times 2^{\frac{2}{3}}e^{\frac{5\pi i}{3}}}{2}\approx 0.97871691-1.695187415i\text{, }z=\frac{\sqrt[3]{15}\times 2^{\frac{2}{3}}e^{\frac{5\pi i}{3}}}{2}\approx 0.97871691-1.695187415i\text{, }a=\frac{\sqrt[3]{15}\times 2^{\frac{2}{3}}e^{\frac{5\pi i}{3}}}{2}\approx 0.97871691-1.695187415i$$

Gjej x, y, z, a

$$a = -\frac{\sqrt[3]{15} \cdot 2 ^ {\frac{2}{3}}}{2} \approx -1.957433821$$