y=x^2/2p eching

$$y = \frac { x ^ { 2 } } { 2 p }$$

p uchun yechish

$$\left\{\begin{matrix}p=\frac{x^{2}}{2y}\text{, }&x\neq 0\text{ and }y\neq 0\\p\neq 0\text{, }&y=0\text{ and }x=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

p qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 2p ga ko'paytirish.

$$y\times 2p=x^{2}$$

Shartlarni qayta saralash.

$$2py=x^{2}$$

Tenglama standart shaklda.

$$2yp=x^{2}$$

Ikki tarafini 2y ga bo‘ling.

$$\frac{2yp}{2y}=\frac{x^{2}}{2y}$$

2y ga bo'lish 2y ga ko'paytirishni bekor qiladi.

$$p=\frac{x^{2}}{2y}$$

p qiymati 0 teng bo‘lmaydi.

$$p=\frac{x^{2}}{2y}\text{, }p\neq 0$$

x uchun yechish (complex solution)

$$x=-\sqrt{y}\sqrt{2p}$$

$$x=\sqrt{y}\sqrt{2p}\text{, }p\neq 0$$

x uchun yechish

$$x=\sqrt{2py}$$

$$x=-\sqrt{2py}\text{, }\left(y\geq 0\text{ and }p>0\right)\text{ or }\left(y\leq 0\text{ and }p<0\right)$$