xyn^2=0 eching

$$x y n ^ { 2 } = 0$$

n uchun yechish (complex solution)

$$\left\{\begin{matrix}\\n=0\text{, }&\text{unconditionally}\\n\in \mathrm{C}\text{, }&y=0\text{ or }x=0\end{matrix}\right,$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$n^{2}=\frac{0}{xy}$$

0 ni xy ga bo'lish.

$$n^{2}=0$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$n=0 n=0$$

Tenglama yechildi. Yechimlar bir xil.

$$n=0$$

Kvadrat tenglamalaridan foydalanish qoidalari

Bu kabi kvadrat tenglamalarni x^{2} sharti bilan, biroq x shartisiz hamon kvadrat tenglamasidan foydalanib yechish mumkin, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, ular standart formulaga solingandan so'ng: ax^{2}+bx+c=0.

$$xyn^{2}=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} xy ni a, 0 ni b va 0 ni c bilan almashtiring.

$$n=\frac{0±\sqrt{0^{2}}}{2xy}$$

0^{2} ning kvadrat ildizini chiqarish.

$$n=\frac{0±0}{2xy}$$

2 ni xy marotabaga ko'paytirish.

$$n=\frac{0}{2xy}$$

0 ni 2xy ga bo'lish.

$$n=0$$

x uchun yechish (complex solution)

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&n=0\text{ or }y=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

$$yn^{2}x=0$$

0 ni yn^{2} ga bo'lish.

$$x=0$$

x uchun yechish

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&n=0\text{ or }y=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

$$yn^{2}x=0$$

0 ni yn^{2} ga bo'lish.

$$x=0$$

n uchun yechish

$$\left\{\begin{matrix}\\n=0\text{, }&\text{unconditionally}\\n\in \mathrm{R}\text{, }&y=0\text{ or }x=0\end{matrix}\right,$$