xdx=quadd(2x^2+3) eching

$$x d x = \quad d ( 2 x ^ { 2 } + 3 )$$

d uchun yechish (complex solution)

$$\left\{\begin{matrix}\\d=0\text{, }&\text{unconditionally}\\d\in \mathrm{C}\text{, }&x=-\sqrt{3}i\text{ or }x=\sqrt{3}i\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$x^{2}d=d\left(2x^{2}+3\right)$$

d ga 2x^{2}+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x^{2}d=2dx^{2}+3d$$

Ikkala tarafdan 2dx^{2} ni ayirish.

$$x^{2}d-2dx^{2}=3d$$

-x^{2}d ni olish uchun x^{2}d va -2dx^{2} ni birlashtirish.

$$-x^{2}d=3d$$

Ikkala tarafdan 3d ni ayirish.

$$-x^{2}d-3d=0$$

d'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(-x^{2}-3\right)d=0$$

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

$$d=0$$

d uchun yechish

$$d=0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$x^{2}d=d\left(2x^{2}+3\right)$$

d ga 2x^{2}+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x^{2}d=2dx^{2}+3d$$

Ikkala tarafdan 2dx^{2} ni ayirish.

$$x^{2}d-2dx^{2}=3d$$

-x^{2}d ni olish uchun x^{2}d va -2dx^{2} ni birlashtirish.

$$-x^{2}d=3d$$

Ikkala tarafdan 3d ni ayirish.

$$-x^{2}d-3d=0$$

d'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(-x^{2}-3\right)d=0$$

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

$$d=0$$

x uchun yechish (complex solution)

$$\left\{\begin{matrix}\\x=-\sqrt{3}i\text{; }x=\sqrt{3}i\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&d=0\end{matrix}\right,$$

x uchun yechish

$$x\in \mathrm{R}$$

$$d=0$$