AC=DE*BD/AD eching

$$A C = \frac { D E \cdot B D } { A D }$$

B uchun yechish (complex solution)

$$\left\{\begin{matrix}B=\frac{CA^{2}}{DE}\text{, }&E\neq 0\text{ and }A\neq 0\text{ and }D\neq 0\\B\in \mathrm{C}\text{, }&C=0\text{ and }E=0\text{ and }A\neq 0\text{ and }D\neq 0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini AD ga ko'paytirish.

$$ACAD=DEBD$$

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

$$ACAD=D^{2}EB$$

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

$$A^{2}CD=D^{2}EB$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$D^{2}EB=A^{2}CD$$

Tenglama standart shaklda.

$$ED^{2}B=CDA^{2}$$

Ikki tarafini D^{2}E ga bo‘ling.

$$\frac{ED^{2}B}{ED^{2}}=\frac{CDA^{2}}{ED^{2}}$$

D^{2}E ga bo'lish D^{2}E ga ko'paytirishni bekor qiladi.

$$B=\frac{CDA^{2}}{ED^{2}}$$

A^{2}CD ni D^{2}E ga bo'lish.

$$B=\frac{CA^{2}}{DE}$$

B uchun yechish

$$\left\{\begin{matrix}B=\frac{CA^{2}}{DE}\text{, }&E\neq 0\text{ and }A\neq 0\text{ and }D\neq 0\\B\in \mathrm{R}\text{, }&C=0\text{ and }E=0\text{ and }A\neq 0\text{ and }D\neq 0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini AD ga ko'paytirish.

$$ACAD=DEBD$$

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

$$ACAD=D^{2}EB$$

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

$$A^{2}CD=D^{2}EB$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$D^{2}EB=A^{2}CD$$

Tenglama standart shaklda.

$$ED^{2}B=CDA^{2}$$

Ikki tarafini D^{2}E ga bo‘ling.

$$\frac{ED^{2}B}{ED^{2}}=\frac{CDA^{2}}{ED^{2}}$$

D^{2}E ga bo'lish D^{2}E ga ko'paytirishni bekor qiladi.

$$B=\frac{CDA^{2}}{ED^{2}}$$

A^{2}CD ni D^{2}E ga bo'lish.

$$B=\frac{CA^{2}}{DE}$$

A uchun yechish (complex solution)

$$\left\{\begin{matrix}A=-C^{-\frac{1}{2}}\sqrt{B}\sqrt{D}\sqrt{E}\text{; }A=C^{-\frac{1}{2}}\sqrt{B}\sqrt{D}\sqrt{E}\text{, }&D\neq 0\text{ and }B\neq 0\text{ and }E\neq 0\text{ and }C\neq 0\\A\neq 0\text{, }&\left(B=0\text{ or }E=0\right)\text{ and }C=0\text{ and }D\neq 0\end{matrix}\right,$$