2x^2-(3-6a)x-2=0 eching

$$2 x ^ { 2 } - ( 3 - 6 a ) x - 2 = 0$$

a uchun yechish

$$a=-\frac{x}{3}+\frac{1}{2}+\frac{1}{3x}$$

$$x\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

3-6a ga x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x^{2}-\left(3x-6ax\right)-2=0$$

3x-6ax teskarisini topish uchun har birining teskarisini toping.

$$2x^{2}-3x+6ax-2=0$$

Ikkala tarafdan 2x^{2} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-3x+6ax-2=-2x^{2}$$

3x ni ikki tarafga qo’shing.

$$6ax-2=-2x^{2}+3x$$

2 ni ikki tarafga qo’shing.

$$6ax=-2x^{2}+3x+2$$

Tenglama standart shaklda.

$$6xa=2+3x-2x^{2}$$

Ikki tarafini 6x ga bo‘ling.

$$\frac{6xa}{6x}=\frac{\left(2-x\right)\left(2x+1\right)}{6x}$$

6x ga bo'lish 6x ga ko'paytirishni bekor qiladi.

$$a=\frac{\left(2-x\right)\left(2x+1\right)}{6x}$$

\left(1+2x\right)\left(2-x\right) ni 6x ga bo'lish.

$$a=-\frac{x}{3}+\frac{1}{2}+\frac{1}{3x}$$

x uchun yechish

$$x=\frac{\sqrt{36a^{2}-36a+25}}{4}-\frac{3a}{2}+\frac{3}{4}$$

$$x=-\frac{\sqrt{36a^{2}-36a+25}}{4}-\frac{3a}{2}+\frac{3}{4}$$