(3+sqrt{3})z+2=5+3-sqrt{3} eching

$$( 3 + \sqrt { 3 } ) z + 2 = 5 + 3 - \sqrt { 3 }$$

z uchun yechish

$$z=\frac{7-3\sqrt{3}}{2}\approx 0,901923789$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$3z+\sqrt{3}z+2=5+3-\sqrt{3}$$

8 olish uchun 5 va 3'ni qo'shing.

$$3z+\sqrt{3}z+2=8-\sqrt{3}$$

Ikkala tarafdan 2 ni ayirish.

$$3z+\sqrt{3}z=8-\sqrt{3}-2$$

6 olish uchun 8 dan 2 ni ayirish.

$$3z+\sqrt{3}z=6-\sqrt{3}$$

z'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(3+\sqrt{3}\right)z=6-\sqrt{3}$$

Tenglama standart shaklda.

$$\left(\sqrt{3}+3\right)z=6-\sqrt{3}$$

Ikki tarafini 3+\sqrt{3} ga bo‘ling.

$$\frac{\left(\sqrt{3}+3\right)z}{\sqrt{3}+3}=\frac{6-\sqrt{3}}{\sqrt{3}+3}$$

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

$$z=\frac{6-\sqrt{3}}{\sqrt{3}+3}$$

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

$$z=\frac{7-3\sqrt{3}}{2}$$