12=x+5/sqrt{3} eching

$$12 = \frac { x + 5 } { \sqrt { 3 } }$$

x uchun yechish

$$x=12\sqrt{3}-5\approx 15,784609691$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{x+5}{\sqrt{3}} maxrajini \sqrt{3} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$12=\frac{\left(x+5\right)\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

\sqrt{3} kvadrati – 3.

$$12=\frac{\left(x+5\right)\sqrt{3}}{3}$$

x+5 ga \sqrt{3} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$12=\frac{x\sqrt{3}+5\sqrt{3}}{3}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\frac{x\sqrt{3}+5\sqrt{3}}{3}=12$$

Ikkala tarafini 3 ga ko‘paytiring.

$$x\sqrt{3}+5\sqrt{3}=12\times 3$$

36 hosil qilish uchun 12 va 3 ni ko'paytirish.

$$x\sqrt{3}+5\sqrt{3}=36$$

Ikkala tarafdan 5\sqrt{3} ni ayirish.

$$x\sqrt{3}=36-5\sqrt{3}$$

Tenglama standart shaklda.

$$\sqrt{3}x=36-5\sqrt{3}$$

Ikki tarafini \sqrt{3} ga bo‘ling.

$$\frac{\sqrt{3}x}{\sqrt{3}}=\frac{36-5\sqrt{3}}{\sqrt{3}}$$

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

$$x=\frac{36-5\sqrt{3}}{\sqrt{3}}$$

36-5\sqrt{3} ni \sqrt{3} ga bo'lish.

$$x=12\sqrt{3}-5$$