x^2-6px+3y=0 eching

$$x ^ { 2 } - 6 p x + 3 y = 0$$

p uchun yechish (complex solution)

$$\left\{\begin{matrix}p=\frac{x}{6}+\frac{y}{2x}\text{, }&x\neq 0\\p\in \mathrm{C}\text{, }&y=0\text{ and }x=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$-6px+3y=-x^{2}$$

Ikkala tarafdan 3y ni ayirish.

$$-6px=-x^{2}-3y$$

Tenglama standart shaklda.

$$\left(-6x\right)p=-x^{2}-3y$$

Ikki tarafini -6x ga bo‘ling.

$$\frac{\left(-6x\right)p}{-6x}=\frac{-x^{2}-3y}{-6x}$$

-6x ga bo'lish -6x ga ko'paytirishni bekor qiladi.

$$p=\frac{-x^{2}-3y}{-6x}$$

-x^{2}-3y ni -6x ga bo'lish.

$$p=\frac{x}{6}+\frac{y}{2x}$$

p uchun yechish

$$\left\{\begin{matrix}p=\frac{x}{6}+\frac{y}{2x}\text{, }&x\neq 0\\p\in \mathrm{R}\text{, }&y=0\text{ and }x=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$-6px+3y=-x^{2}$$

Ikkala tarafdan 3y ni ayirish.

$$-6px=-x^{2}-3y$$

Tenglama standart shaklda.

$$\left(-6x\right)p=-x^{2}-3y$$

Ikki tarafini -6x ga bo‘ling.

$$\frac{\left(-6x\right)p}{-6x}=\frac{-x^{2}-3y}{-6x}$$

-6x ga bo'lish -6x ga ko'paytirishni bekor qiladi.

$$p=\frac{-x^{2}-3y}{-6x}$$

-x^{2}-3y ni -6x ga bo'lish.

$$p=\frac{x}{6}+\frac{y}{2x}$$

x uchun yechish (complex solution)

$$x=\sqrt{9p^{2}-3y}+3p$$

$$x=-\sqrt{9p^{2}-3y}+3p$$

x uchun yechish

$$x=\sqrt{9p^{2}-3y}+3p$$

$$x=-\sqrt{9p^{2}-3y}+3p\text{, }y\leq 3p^{2}$$