xy*6=yyy eching

$$xy \times 6=yyy$$

x uchun yechish (complex solution)

$$\left\{\begin{matrix}\\x=\frac{y^{2}}{6}\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$xy\times 6=y^{2}y$$

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

$$xy\times 6=y^{3}$$

Tenglama standart shaklda.

$$6yx=y^{3}$$

Ikki tarafini 6y ga bo‘ling.

$$\frac{6yx}{6y}=\frac{y^{3}}{6y}$$

6y ga bo'lish 6y ga ko'paytirishni bekor qiladi.

$$x=\frac{y^{3}}{6y}$$

y^{3} ni 6y ga bo'lish.

$$x=\frac{y^{2}}{6}$$

x uchun yechish

$$\left\{\begin{matrix}\\x=\frac{y^{2}}{6}\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$xy\times 6=y^{2}y$$

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

$$xy\times 6=y^{3}$$

Tenglama standart shaklda.

$$6yx=y^{3}$$

Ikki tarafini 6y ga bo‘ling.

$$\frac{6yx}{6y}=\frac{y^{3}}{6y}$$

6y ga bo'lish 6y ga ko'paytirishni bekor qiladi.

$$x=\frac{y^{3}}{6y}$$

y^{3} ni 6y ga bo'lish.

$$x=\frac{y^{2}}{6}$$

y uchun yechish (complex solution)

$$y=\sqrt{6x}$$

$$y=0$$

$$y=-\sqrt{6x}$$

y uchun yechish

$$\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y=\sqrt{6x}\text{; }y=-\sqrt{6x}\text{, }&x\geq 0\end{matrix}\right,$$