{l}{x^3+y^3=1}{x^3-y^3=0} хәл итегез

$$\left. \begin{array} { l } { x ^ { 3 } + y ^ { 3 } = 1 } \\ { x ^ { 3 } - y ^ { 3 } = 0 } \end{array} \right.$$

x, y өчен чишелеш (complex solution)

$$x=\frac{2^{\frac{2}{3}}}{2}\approx 0.793700526\text{, }y=\frac{2^{\frac{2}{3}}}{2}\approx 0.793700526$$

$$x=\frac{2^{\frac{2}{3}}}{2}\approx 0.793700526\text{, }y=\frac{2^{\frac{2}{3}}e^{\frac{2\pi i}{3}}}{2}\approx -0.396850263+0.687364818i$$

$$x=\frac{2^{\frac{2}{3}}}{2}\approx 0.793700526\text{, }y=\frac{2^{\frac{2}{3}}e^{\frac{4\pi i}{3}}}{2}\approx -0.396850263-0.687364818i$$

$$x=\frac{2^{\frac{2}{3}}e^{\frac{2\pi i}{3}}}{2}\approx -0.396850263+0.687364818i\text{, }y=\frac{2^{\frac{2}{3}}}{2}\approx 0.793700526$$

$$x=\frac{2^{\frac{2}{3}}e^{\frac{2\pi i}{3}}}{2}\approx -0.396850263+0.687364818i\text{, }y=\frac{2^{\frac{2}{3}}e^{\frac{2\pi i}{3}}}{2}\approx -0.396850263+0.687364818i$$

$$x=\frac{2^{\frac{2}{3}}e^{\frac{2\pi i}{3}}}{2}\approx -0.396850263+0.687364818i\text{, }y=\frac{2^{\frac{2}{3}}e^{\frac{4\pi i}{3}}}{2}\approx -0.396850263-0.687364818i$$

$$x=\frac{2^{\frac{2}{3}}e^{\frac{4\pi i}{3}}}{2}\approx -0.396850263-0.687364818i\text{, }y=\frac{2^{\frac{2}{3}}}{2}\approx 0.793700526$$

$$x=\frac{2^{\frac{2}{3}}e^{\frac{4\pi i}{3}}}{2}\approx -0.396850263-0.687364818i\text{, }y=\frac{2^{\frac{2}{3}}e^{\frac{2\pi i}{3}}}{2}\approx -0.396850263+0.687364818i$$

$$x=\frac{2^{\frac{2}{3}}e^{\frac{4\pi i}{3}}}{2}\approx -0.396850263-0.687364818i\text{, }y=\frac{2^{\frac{2}{3}}e^{\frac{4\pi i}{3}}}{2}\approx -0.396850263-0.687364818i$$

x, y өчен чишелеш

$$x=\frac{2^{\frac{2}{3}}}{2}\approx 0.793700526$$

$$y=\frac{2^{\frac{2}{3}}}{2}\approx 0.793700526$$