(frac{sqrt{3}}{3}+1)x=100 eching

$$( \frac { \sqrt { 3 } } { 3 } + 1 ) x = 100$$

x uchun yechish

$$x=150-50\sqrt{3}\approx 63,397459622$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 3 ga ko'paytirish.

$$3\left(\frac{\sqrt{3}}{3}+1\right)x=300$$

3 ga \frac{\sqrt{3}}{3}+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\left(3\times \frac{\sqrt{3}}{3}+3\right)x=300$$

3\times \frac{\sqrt{3}}{3} ni yagona kasrga aylantiring.

$$\left(\frac{3\sqrt{3}}{3}+3\right)x=300$$

3 va 3 ni qisqartiring.

$$\left(\sqrt{3}+3\right)x=300$$

Ikki tarafini \sqrt{3}+3 ga bo‘ling.

$$\frac{\left(\sqrt{3}+3\right)x}{\sqrt{3}+3}=\frac{300}{\sqrt{3}+3}$$

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

$$x=\frac{300}{\sqrt{3}+3}$$

300 ni \sqrt{3}+3 ga bo'lish.

$$x=150-50\sqrt{3}$$