x(2sqrt{6}-6)+6sqrt{6}+18=0 eching

$$x ( 2 \sqrt { 6 } - 6 ) + 6 \sqrt { 6 } + 18 = 0$$

x uchun yechish

$$x=6\sqrt{6}+15\approx 29,696938457$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x ga 2\sqrt{6}-6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x\sqrt{6}-6x+6\sqrt{6}+18=0$$

Ikkala tarafdan 6\sqrt{6} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$2x\sqrt{6}-6x+18=-6\sqrt{6}$$

Ikkala tarafdan 18 ni ayirish.

$$2x\sqrt{6}-6x=-6\sqrt{6}-18$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(2\sqrt{6}-6\right)x=-6\sqrt{6}-18$$

Ikki tarafini 2\sqrt{6}-6 ga bo‘ling.

$$\frac{\left(2\sqrt{6}-6\right)x}{2\sqrt{6}-6}=\frac{-6\sqrt{6}-18}{2\sqrt{6}-6}$$

2\sqrt{6}-6 ga bo'lish 2\sqrt{6}-6 ga ko'paytirishni bekor qiladi.

$$x=\frac{-6\sqrt{6}-18}{2\sqrt{6}-6}$$

-6\sqrt{6}-18 ni 2\sqrt{6}-6 ga bo'lish.

$$x=6\sqrt{6}+15$$