q=a^3b:a.b eching

$$q = a ^ { 3 } b : a . b$$

b uchun yechish

$$b=\frac{q}{a^{2}}$$

$$a\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini a ga ko'paytirish.

$$qa=a^{3}b$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$a^{3}b=qa$$

Tenglama standart shaklda.

$$a^{3}b=aq$$

Ikki tarafini a^{3} ga bo‘ling.

$$\frac{a^{3}b}{a^{3}}=\frac{aq}{a^{3}}$$

a^{3} ga bo'lish a^{3} ga ko'paytirishni bekor qiladi.

$$b=\frac{aq}{a^{3}}$$

qa ni a^{3} ga bo'lish.

$$b=\frac{q}{a^{2}}$$

a uchun yechish (complex solution)

$$\left\{\begin{matrix}a=-b^{-\frac{1}{2}}\sqrt{q}\text{; }a=b^{-\frac{1}{2}}\sqrt{q}\text{, }&b\neq 0\text{ and }q\neq 0\\a\neq 0\text{, }&q=0\text{ and }b=0\end{matrix}\right,$$

a uchun yechish

$$\left\{\begin{matrix}a=\sqrt{\frac{q}{b}}\text{; }a=-\sqrt{\frac{q}{b}}\text{, }&\left(b<0\text{ and }q<0\right)\text{ or }\left(b>0\text{ and }q>0\right)\\a\neq 0\text{, }&q=0\text{ and }b=0\end{matrix}\right,$$