Réitigh (10mM)(v1)=(10mm)(10m)

$$( 10 m M ) ( v 1 ) = ( 10 m m ) ( 10 m )$$

Réitigh do M. (complex solution)

$$\left\{\begin{matrix}M=\frac{10m^{2}}{v_{1}}\text{, }&v_{1}\neq 0\\M\in \mathrm{C}\text{, }&m=0\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Cealaigh 10 ar an dá thaobh.

$$mMv_{1}=mm\times 10m$$

Méadaigh m agus m chun m^{2} a fháil.

$$mMv_{1}=m^{2}\times 10m$$

Chun cumhachtaí den bhonn céanna a iolrú, suimigh a n-easpónaint. Suimigh 2 agus 1 chun 3 a bhaint amach.

$$mMv_{1}=m^{3}\times 10$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$mv_{1}M=10m^{3}$$

Roinn an dá thaobh faoi mv_{1}.

$$\frac{mv_{1}M}{mv_{1}}=\frac{10m^{3}}{mv_{1}}$$

Má roinntear é faoi mv_{1} cuirtear an iolrúchán faoi mv_{1} ar ceal.

$$M=\frac{10m^{3}}{mv_{1}}$$

Roinn 10m^{3} faoi mv_{1}.

$$M=\frac{10m^{2}}{v_{1}}$$

Réitigh do M.

$$\left\{\begin{matrix}M=\frac{10m^{2}}{v_{1}}\text{, }&v_{1}\neq 0\\M\in \mathrm{R}\text{, }&m=0\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Cealaigh 10 ar an dá thaobh.

$$mMv_{1}=mm\times 10m$$

Méadaigh m agus m chun m^{2} a fháil.

$$mMv_{1}=m^{2}\times 10m$$

Chun cumhachtaí den bhonn céanna a iolrú, suimigh a n-easpónaint. Suimigh 2 agus 1 chun 3 a bhaint amach.

$$mMv_{1}=m^{3}\times 10$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$mv_{1}M=10m^{3}$$

Roinn an dá thaobh faoi mv_{1}.

$$\frac{mv_{1}M}{mv_{1}}=\frac{10m^{3}}{mv_{1}}$$

Má roinntear é faoi mv_{1} cuirtear an iolrúchán faoi mv_{1} ar ceal.

$$M=\frac{10m^{3}}{mv_{1}}$$

Roinn 10m^{3} faoi mv_{1}.

$$M=\frac{10m^{2}}{v_{1}}$$

Réitigh do m. (complex solution)

$$m=\frac{\sqrt{v_{1}}\sqrt{10M}}{10}$$

$$m=0$$

$$m=-\frac{\sqrt{v_{1}}\sqrt{10M}}{10}$$

Réitigh do m.

$$\left\{\begin{matrix}\\m=0\text{, }&\text{unconditionally}\\m=\frac{\sqrt{10Mv_{1}}}{10}\text{; }m=-\frac{\sqrt{10Mv_{1}}}{10}\text{, }&\left(v_{1}\geq 0\text{ and }M\geq 0\right)\text{ or }\left(M\leq 0\text{ and }v_{1}\leq 0\right)\end{matrix}\right.$$