x^2+yx+18=0 eching

$$x ^ { 2 } + y x + 18 = 0$$

y uchun yechish

$$y=-x-\frac{18}{x}$$

$$x\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan x^{2} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$yx+18=-x^{2}$$

Ikkala tarafdan 18 ni ayirish.

$$yx=-x^{2}-18$$

Tenglama standart shaklda.

$$xy=-x^{2}-18$$

Ikki tarafini x ga bo‘ling.

$$\frac{xy}{x}=\frac{-x^{2}-18}{x}$$

x ga bo'lish x ga ko'paytirishni bekor qiladi.

$$y=\frac{-x^{2}-18}{x}$$

-x^{2}-18 ni x ga bo'lish.

$$y=-x-\frac{18}{x}$$

x uchun yechish (complex solution)

$$x=\frac{\sqrt{y^{2}-72}-y}{2}$$

$$x=\frac{-\sqrt{y^{2}-72}-y}{2}$$

x uchun yechish

$$x=\frac{\sqrt{y^{2}-72}-y}{2}$$

$$x=\frac{-\sqrt{y^{2}-72}-y}{2}\text{, }|y|\geq 6\sqrt{2}$$