(10mM)(v1)=(10mm)(10m) eching

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

M uchun yechish (complex solution)

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

10ni ikki tarafidan bekor qilish.

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

m^{2} hosil qilish uchun m va m ni ko'paytirish.

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

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.

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

Tenglama standart shaklda.

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

Ikki tarafini mv_{1} ga bo‘ling.

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

mv_{1} ga bo'lish mv_{1} ga ko'paytirishni bekor qiladi.

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

10m^{3} ni mv_{1} ga bo'lish.

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

M uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

10ni ikki tarafidan bekor qilish.

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

m^{2} hosil qilish uchun m va m ni ko'paytirish.

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

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.

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

Tenglama standart shaklda.

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

Ikki tarafini mv_{1} ga bo‘ling.

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

mv_{1} ga bo'lish mv_{1} ga ko'paytirishni bekor qiladi.

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

10m^{3} ni mv_{1} ga bo'lish.

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

m uchun yechish (complex solution)

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

$$m=0$$

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

m uchun yechish

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