sqrt{3}(100-sqrt{3}x)=x eching

$$\sqrt { 3 } ( 100 - \sqrt { 3 } x ) = x$$

x uchun yechish

$$x=25\sqrt{3}\approx 43,301270189$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan x ni ayirish.

$$\sqrt{3}\left(100-\sqrt{3}x\right)-x=0$$

\sqrt{3} ga 100-\sqrt{3}x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$100\sqrt{3}-x\left(\sqrt{3}\right)^{2}-x=0$$

\sqrt{3} kvadrati – 3.

$$100\sqrt{3}-x\times 3-x=0$$

-3 hosil qilish uchun -1 va 3 ni ko'paytirish.

$$100\sqrt{3}-3x-x=0$$

-4x ni olish uchun -3x va -x ni birlashtirish.

$$100\sqrt{3}-4x=0$$

Ikkala tarafdan 100\sqrt{3} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-4x=-100\sqrt{3}$$

Ikki tarafini -4 ga bo‘ling.

$$\frac{-4x}{-4}=-\frac{100\sqrt{3}}{-4}$$

-4 ga bo'lish -4 ga ko'paytirishni bekor qiladi.

$$x=-\frac{100\sqrt{3}}{-4}$$

-100\sqrt{3} ni -4 ga bo'lish.

$$x=25\sqrt{3}$$