-a=sqrt{2a^2-3ab} eching

$$- a = \sqrt { 2 a ^ { 2 } - 3 a b }$$

b uchun yechish

$$\left\{\begin{matrix}b=\frac{a}{3}\text{, }&a\leq 0\\b\in \mathrm{R}\text{, }&a=0\end{matrix}\right,$$

Ildizli tenglamalarni yechish qadamlari

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\sqrt{2a^{2}-3ab}=-a$$

Tenglamaning ikkala taraf kvadratini chiqarish.

$$\left(-3a\right)b+2a^{2}=a^{2}$$

Tenglamaning ikkala tarafidan 2a^{2} ni ayirish.

$$\left(-3a\right)b+2a^{2}-2a^{2}=a^{2}-2a^{2}$$

O‘zidan 2a^{2} ayirilsa 0 qoladi.

$$\left(-3a\right)b=a^{2}-2a^{2}$$

a^{2} dan 2a^{2} ni ayirish.

$$\left(-3a\right)b=-a^{2}$$

Ikki tarafini -3a ga bo‘ling.

$$\frac{\left(-3a\right)b}{-3a}=-\frac{a^{2}}{-3a}$$

-3a ga bo'lish -3a ga ko'paytirishni bekor qiladi.

$$b=-\frac{a^{2}}{-3a}$$

-a^{2} ni -3a ga bo'lish.

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

a uchun yechish (complex solution)

$$\left\{\begin{matrix}\\a=0\text{, }&\text{unconditionally}\\a=3b\text{, }&arg(b)\geq \pi \text{ or }b=0\end{matrix}\right,$$

b uchun yechish (complex solution)

$$\left\{\begin{matrix}b=\frac{a}{3}\text{, }&arg(a)\geq \pi \text{ or }a=0\\b\in \mathrm{C}\text{, }&a=0\end{matrix}\right,$$

a uchun yechish

$$\left\{\begin{matrix}\\a=0\text{, }&\text{unconditionally}\\a=3b\text{, }&b\leq 0\end{matrix}\right,$$