Datrys 1/c_{T}=1/2+1/9+1/2+frac{1}{6}+frac{1}{12}

$$\frac { 1 } { c _ { T } } = \frac { 1 } { 2 } + \frac { 1 } { 9 } + \frac { 1 } { 2 } + \frac { 1 } { 6 } + \frac { 1 } { 12 }$$

Datrys ar gyfer c_T

$$c_{T}=\frac{36}{49}\approx 0.734693878$$

Camau ar gyfer Datrys Hafaliad Llinol

All y newidyn c_{T} ddim fod yn hafal i 0 gan nad ydy rhannu â sero wedi’i ddiffinio. Lluoswch ddwy ochr yr hafaliad wrth 36c_{T}, lluoswm cyffredin lleiaf c_{T},2,9,6,12.

$$36=36c_{T}\times \frac{1}{2}+36c_{T}\times \frac{1}{9}+36c_{T}\times \frac{1}{2}+36c_{T}\times \frac{1}{6}+36c_{T}\times \frac{1}{12}$$

Lluosi 36 a \frac{1}{2} i gael \frac{36}{2}.

$$36=\frac{36}{2}c_{T}+36c_{T}\times \frac{1}{9}+36c_{T}\times \frac{1}{2}+36c_{T}\times \frac{1}{6}+36c_{T}\times \frac{1}{12}$$

Rhannu 36 â 2 i gael 18.

$$36=18c_{T}+36c_{T}\times \frac{1}{9}+36c_{T}\times \frac{1}{2}+36c_{T}\times \frac{1}{6}+36c_{T}\times \frac{1}{12}$$

Lluosi 36 a \frac{1}{9} i gael \frac{36}{9}.

$$36=18c_{T}+\frac{36}{9}c_{T}+36c_{T}\times \frac{1}{2}+36c_{T}\times \frac{1}{6}+36c_{T}\times \frac{1}{12}$$

Rhannu 36 â 9 i gael 4.

$$36=18c_{T}+4c_{T}+36c_{T}\times \frac{1}{2}+36c_{T}\times \frac{1}{6}+36c_{T}\times \frac{1}{12}$$

Cyfuno 18c_{T} a 4c_{T} i gael 22c_{T}.

$$36=22c_{T}+36c_{T}\times \frac{1}{2}+36c_{T}\times \frac{1}{6}+36c_{T}\times \frac{1}{12}$$

Lluosi 36 a \frac{1}{2} i gael \frac{36}{2}.

$$36=22c_{T}+\frac{36}{2}c_{T}+36c_{T}\times \frac{1}{6}+36c_{T}\times \frac{1}{12}$$

Rhannu 36 â 2 i gael 18.

$$36=22c_{T}+18c_{T}+36c_{T}\times \frac{1}{6}+36c_{T}\times \frac{1}{12}$$

Cyfuno 22c_{T} a 18c_{T} i gael 40c_{T}.

$$36=40c_{T}+36c_{T}\times \frac{1}{6}+36c_{T}\times \frac{1}{12}$$

Lluosi 36 a \frac{1}{6} i gael \frac{36}{6}.

$$36=40c_{T}+\frac{36}{6}c_{T}+36c_{T}\times \frac{1}{12}$$

Rhannu 36 â 6 i gael 6.

$$36=40c_{T}+6c_{T}+36c_{T}\times \frac{1}{12}$$

Cyfuno 40c_{T} a 6c_{T} i gael 46c_{T}.

$$36=46c_{T}+36c_{T}\times \frac{1}{12}$$

Lluosi 36 a \frac{1}{12} i gael \frac{36}{12}.

$$36=46c_{T}+\frac{36}{12}c_{T}$$

Rhannu 36 â 12 i gael 3.

$$36=46c_{T}+3c_{T}$$

Cyfuno 46c_{T} a 3c_{T} i gael 49c_{T}.

$$36=49c_{T}$$

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$49c_{T}=36$$

Rhannu’r ddwy ochr â 49.

$$c_{T}=\frac{36}{49}$$