I/x^3-pi/3x=0 eching

$$\frac { I } { x ^ { 3 } } - \frac { \pi } { 3 x } = 0$$

I uchun yechish

$$I=\frac{\pi x^{2}}{3}$$

$$x\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 3x^{3} ga, x^{3},3x ning eng kichik karralisiga ko‘paytiring.

$$3I-x^{2}\pi =0$$

x^{2}\pi ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$3I=x^{2}\pi$$

Tenglama standart shaklda.

$$3I=\pi x^{2}$$

Ikki tarafini 3 ga bo‘ling.

$$\frac{3I}{3}=\frac{\pi x^{2}}{3}$$

3 ga bo'lish 3 ga ko'paytirishni bekor qiladi.

$$I=\frac{\pi x^{2}}{3}$$

x uchun yechish (complex solution)

$$x=-\sqrt{\frac{3I}{\pi }}$$

$$x=\sqrt{\frac{3I}{\pi }}\text{, }I\neq 0$$

x uchun yechish

$$x=\sqrt{\frac{3I}{\pi }}$$

$$x=-\sqrt{\frac{3I}{\pi }}\text{, }I>0$$