ដោះស្រាយ y^2m-1*y*y^113m=4

$$y ^ { 2 m - 1 } \cdot y \cdot y ^ { 113 m } = 4$$

ដោះស្រាយសម្រាប់ m (complex solution)

$$m=\frac{2\pi n_{1}i}{115\ln(y)}+\frac{2\log_{y}\left(2\right)}{115}$$

$$n_{1}\in \mathrm{Z}$$

$$y\neq 1\text{ and }y\neq 0$$

ដោះស្រាយសម្រាប់ y (complex solution)

$$y=e^{-\frac{2\pi n_{1}\left(Im(m)+iRe(m)\right)}{115\left(\left(Re(m)\right)^{2}+\left(Im(m)\right)^{2}\right)}}\times 2^{\frac{2\left(Re(m)-iIm(m)\right)}{115\left(\left(Re(m)\right)^{2}+\left(Im(m)\right)^{2}\right)}}$$

$$n_{1}\in \mathrm{Z}$$

ដោះស្រាយសម្រាប់ m

$$m=\frac{2\log_{y}\left(2\right)}{115}$$

$$y\neq 1\text{ and }y>0$$

ដោះស្រាយសម្រាប់ y

$$\left\{\begin{matrix}y=4^{\frac{1}{115m}}\text{, }&m\neq 0\\y=-4^{\frac{1}{115m}}\text{, }&m\neq 0\text{ and }Numerator(115m)\text{bmod}2=0\text{ and }Denominator(2m)\text{bmod}2=1\text{ and }Denominator(113m)\text{bmod}2=1\end{matrix}\right.$$