Datrys {left(sqrt{frac{yx/545/2x/455/5555{left(z^2right)^frac{x{zsqrt{51}}}}}{z}}right)}^2=50000

$${ \left( \sqrt{ \frac{ \frac{ \frac{ \frac{ \frac{ yx }{ 545 } }{ 2x } }{ 455 } }{ 5555 { \left( { z }^{ 2 } \right) }^{ \frac{ x }{ z \sqrt{ 51 } } } } }{ z } } \right) }^{ 2 } =50000$$

Datrys ar gyfer y

$$y=137750112500000z\left(z^{2}\right)^{\frac{\sqrt{51}x}{51z}}$$

$$z\neq 0\text{ and }x\neq 0$$

Camau ar gyfer Datrys Hafaliad Llinol

Mynegwch \frac{\frac{\frac{\frac{\frac{yx}{545}}{2x}}{455}}{5555\left(z^{2}\right)^{\frac{x}{z\sqrt{51}}}}}{z} fel ffracsiwn unigol.

$$\left(\sqrt{\frac{\frac{\frac{\frac{yx}{545}}{2x}}{455}}{5555\left(z^{2}\right)^{\frac{x}{z\sqrt{51}}}z}}\right)^{2}=50000$$

Mynegwch \frac{\frac{yx}{545}}{2x} fel ffracsiwn unigol.

$$\left(\sqrt{\frac{\frac{\frac{yx}{545\times 2x}}{455}}{5555\left(z^{2}\right)^{\frac{x}{z\sqrt{51}}}z}}\right)^{2}=50000$$

Canslo x yn y rhifiadur a'r enwadur.

$$\left(\sqrt{\frac{\frac{\frac{y}{2\times 545}}{455}}{5555\left(z^{2}\right)^{\frac{x}{z\sqrt{51}}}z}}\right)^{2}=50000$$

Lluosi 2 a 545 i gael 1090.

$$\left(\sqrt{\frac{\frac{\frac{y}{1090}}{455}}{5555\left(z^{2}\right)^{\frac{x}{z\sqrt{51}}}z}}\right)^{2}=50000$$

Mae'n rhesymoli enwadur \frac{x}{z\sqrt{51}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{51}.

$$\left(\sqrt{\frac{\frac{\frac{y}{1090}}{455}}{5555\left(z^{2}\right)^{\frac{x\sqrt{51}}{z\left(\sqrt{51}\right)^{2}}}z}}\right)^{2}=50000$$

Sgwâr \sqrt{51} yw 51.

$$\left(\sqrt{\frac{\frac{\frac{y}{1090}}{455}}{5555\left(z^{2}\right)^{\frac{x\sqrt{51}}{z\times 51}}z}}\right)^{2}=50000$$

Dylech ffactoreiddio'r mynegiadau sydd heb eu ffactoreiddio eisoes yn \frac{x\sqrt{51}}{z\times 51}.

$$\left(\sqrt{\frac{\frac{\frac{y}{1090}}{455}}{5555\left(z^{2}\right)^{\frac{\sqrt{51}x}{51z}}z}}\right)^{2}=50000$$

Canslo \sqrt{51} yn y rhifiadur a'r enwadur.

$$\left(\sqrt{\frac{\frac{\frac{y}{1090}}{455}}{5555\left(z^{2}\right)^{\frac{x}{\sqrt{51}z}}z}}\right)^{2}=50000$$

Cyfrifo \sqrt{\frac{\frac{\frac{y}{1090}}{455}}{5555\left(z^{2}\right)^{\frac{x}{\sqrt{51}z}}z}} i bŵer 2 a chael \frac{\frac{\frac{y}{1090}}{455}}{5555\left(z^{2}\right)^{\frac{x}{\sqrt{51}z}}z}.

$$\frac{\frac{\frac{y}{1090}}{455}}{5555\left(z^{2}\right)^{\frac{x}{\sqrt{51}z}}z}=50000$$

Mynegwch \frac{\frac{\frac{y}{1090}}{455}}{5555\left(z^{2}\right)^{\frac{x}{\sqrt{51}z}}z} fel ffracsiwn unigol.

$$\frac{\frac{y}{1090}}{455\times 5555\left(z^{2}\right)^{\frac{x}{\sqrt{51}z}}z}=50000$$

Lluosi 455 a 5555 i gael 2527525.

$$\frac{\frac{y}{1090}}{2527525\left(z^{2}\right)^{\frac{x}{\sqrt{51}z}}z}=50000$$

Mynegwch \frac{\frac{y}{1090}}{2527525\left(z^{2}\right)^{\frac{x}{\sqrt{51}z}}z} fel ffracsiwn unigol.

$$\frac{y}{1090\times 2527525\left(z^{2}\right)^{\frac{x}{\sqrt{51}z}}z}=50000$$

Lluosi 1090 a 2527525 i gael 2755002250.

$$\frac{y}{2755002250\left(z^{2}\right)^{\frac{x}{\sqrt{51}z}}z}=50000$$

Mae'r hafaliad yn y ffurf safonol.

$$\frac{\left(z^{2}\right)^{-\frac{x}{\sqrt{51}z}}}{2755002250z}y=50000$$

Rhannu’r ddwy ochr â \frac{1}{2755002250}\left(z^{2}\right)^{-x\left(\sqrt{51}\right)^{-1}z^{-1}}z^{-1}.

$$\frac{\frac{\left(z^{2}\right)^{-\frac{x}{\sqrt{51}z}}}{2755002250z}y\times 2755002250z}{\left(z^{2}\right)^{-\frac{x}{\sqrt{51}z}}}=\frac{50000\times 2755002250z}{\left(z^{2}\right)^{-\frac{x}{\sqrt{51}z}}}$$

Mae rhannu â \frac{1}{2755002250}\left(z^{2}\right)^{-x\left(\sqrt{51}\right)^{-1}z^{-1}}z^{-1} yn dad-wneud lluosi â \frac{1}{2755002250}\left(z^{2}\right)^{-x\left(\sqrt{51}\right)^{-1}z^{-1}}z^{-1}.

$$y=\frac{50000\times 2755002250z}{\left(z^{2}\right)^{-\frac{x}{\sqrt{51}z}}}$$

Rhannwch 50000 â \frac{1}{2755002250}\left(z^{2}\right)^{-x\left(\sqrt{51}\right)^{-1}z^{-1}}z^{-1}.

$$y=137750112500000z\left(z^{2}\right)^{\frac{\sqrt{51}x}{51z}}$$

Datrys ar gyfer x

$$\left\{\begin{matrix}x\neq 0\text{, }&\left(y=-137750112500000\text{ and }z=-1\right)\text{ or }\left(y=137750112500000\text{ and }z=1\right)\\x=-\frac{\sqrt{51}\left(\ln(\frac{z}{y})+\ln(137750112500000)\right)z}{\ln(z^{2})}\text{, }&\left(y\neq 137750112500000z\text{ and }z>0\text{ and }y>0\text{ and }z\neq 1\right)\text{ or }\left(y\neq 137750112500000z\text{ and }z<0\text{ and }y<0\text{ and }z\neq -1\right)\end{matrix}\right.$$