פתור את (2*9*10^-21)^3/27x=x^4

$$\frac { ( 2 \cdot 9 \times 10 ^ { - 21 } ) ^ { 3 } } { 27 x } = x ^ { 4 }$$

פתור עבור x (complex solution)

$$x=\frac{3^{\frac{3}{5}}\times 5^{\frac{2}{5}}e^{\frac{2\pi i}{5}}}{5000000000000}\approx 2.274432824 \cdot 10^{-13}+6.999984458 \cdot 10^{-13}i$$

$$x=\frac{3^{\frac{3}{5}}\times 5^{\frac{2}{5}}}{5000000000000}\approx 7.360219228 \cdot 10^{-13}$$

$$x=\frac{3^{\frac{3}{5}}\times 5^{\frac{2}{5}}e^{\frac{4\pi i}{5}}}{5000000000000}\approx -5.954542438 \cdot 10^{-13}+4.326228316 \cdot 10^{-13}i$$

$$x=\frac{3^{\frac{3}{5}}\times 5^{\frac{2}{5}}e^{\frac{6\pi i}{5}}}{5000000000000}\approx -5.954542438 \cdot 10^{-13}-4.326228316 \cdot 10^{-13}i$$

$$x=\frac{3^{\frac{3}{5}}\times 5^{\frac{2}{5}}e^{\frac{8\pi i}{5}}}{5000000000000}\approx 2.274432824 \cdot 10^{-13}-6.999984458 \cdot 10^{-13}i$$

פתור עבור x

$$x=\frac{3^{\frac{3}{5}}\times 5^{\frac{2}{5}}}{5000000000000}\approx 7.360219228 \cdot 10^{-13}$$