3+x/sqrt{3}=111x-3 eching

$$3 + \frac { x } { \sqrt { 3 } } = 111 x - 3$$

x uchun yechish

$$x=\frac{3\left(\sqrt{3}+333\right)}{18481}\approx 0,054336678$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{x}{\sqrt{3}} maxrajini \sqrt{3} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$3+\frac{x\sqrt{3}}{\left(\sqrt{3}\right)^{2}}=111x-3$$

\sqrt{3} kvadrati – 3.

$$3+\frac{x\sqrt{3}}{3}=111x-3$$

Ikkala tarafdan 111x ni ayirish.

$$3+\frac{x\sqrt{3}}{3}-111x=-3$$

Ikkala tarafdan 3 ni ayirish.

$$\frac{x\sqrt{3}}{3}-111x=-3-3$$

-6 olish uchun -3 dan 3 ni ayirish.

$$\frac{x\sqrt{3}}{3}-111x=-6$$

Tenglamaning ikkala tarafini 3 ga ko'paytirish.

$$x\sqrt{3}-333x=-18$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(\sqrt{3}-333\right)x=-18$$

Ikki tarafini \sqrt{3}-333 ga bo‘ling.

$$\frac{\left(\sqrt{3}-333\right)x}{\sqrt{3}-333}=-\frac{18}{\sqrt{3}-333}$$

\sqrt{3}-333 ga bo'lish \sqrt{3}-333 ga ko'paytirishni bekor qiladi.

$$x=-\frac{18}{\sqrt{3}-333}$$

-18 ni \sqrt{3}-333 ga bo'lish.

$$x=\frac{3\sqrt{3}+999}{18481}$$