100sqrt{3}+sqrt{3}x=4x eching

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

x uchun yechish

$$x = \frac{400 \sqrt{3} + 300}{13} \approx 76,370794079$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan 4x ni ayirish.

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

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

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

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(\sqrt{3}-4\right)x=-100\sqrt{3}$$

Ikki tarafini \sqrt{3}-4 ga bo‘ling.

$$\frac{\left(\sqrt{3}-4\right)x}{\sqrt{3}-4}=-\frac{100\sqrt{3}}{\sqrt{3}-4}$$

\sqrt{3}-4 ga bo'lish \sqrt{3}-4 ga ko'paytirishni bekor qiladi.

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

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

$$x=\frac{400\sqrt{3}+300}{13}$$