6x^2-6x=2(1-2x)-2-x(2-x) eching

$$6 x ^ { 2 } - 6 x = 2 ( 1 - 2 x ) - 2 - x ( 2 - x )$$

x uchun yechish

$$x=0$$

Kvadrat ildizini topish bo'yicha qadamlar

2 ga 1-2x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6x^{2}-6x=2-4x-2-x\left(2-x\right)$$

0 olish uchun 2 dan 2 ni ayirish.

$$6x^{2}-6x=-4x-x\left(2-x\right)$$

x ga 2-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6x^{2}-6x=-4x-\left(2x-x^{2}\right)$$

2x-x^{2} teskarisini topish uchun har birining teskarisini toping.

$$6x^{2}-6x=-4x-2x+x^{2}$$

-6x ni olish uchun -4x va -2x ni birlashtirish.

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

6x ni ikki tarafga qo’shing.

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

0 ni olish uchun -6x va 6x ni birlashtirish.

$$6x^{2}=x^{2}$$

Ikkala tarafdan x^{2} ni ayirish.

$$6x^{2}-x^{2}=0$$

5x^{2} ni olish uchun 6x^{2} va -x^{2} ni birlashtirish.

$$5x^{2}=0$$

Ikki tarafini 5 ga bo‘ling. Nol bo‘lmagan har qanday sonni nolga ko‘paytirsangiz, nol bo‘ladi.

$$x^{2}=0$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=0 x=0$$

Tenglama yechildi. Yechimlar bir xil.

$$x=0$$

Kvadrat tenglamalaridan foydalanish qoidalari

2 ga 1-2x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6x^{2}-6x=2-4x-2-x\left(2-x\right)$$

0 olish uchun 2 dan 2 ni ayirish.

$$6x^{2}-6x=-4x-x\left(2-x\right)$$

x ga 2-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6x^{2}-6x=-4x-\left(2x-x^{2}\right)$$

2x-x^{2} teskarisini topish uchun har birining teskarisini toping.

$$6x^{2}-6x=-4x-2x+x^{2}$$

-6x ni olish uchun -4x va -2x ni birlashtirish.

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

6x ni ikki tarafga qo’shing.

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

0 ni olish uchun -6x va 6x ni birlashtirish.

$$6x^{2}=x^{2}$$

Ikkala tarafdan x^{2} ni ayirish.

$$6x^{2}-x^{2}=0$$

5x^{2} ni olish uchun 6x^{2} va -x^{2} ni birlashtirish.

$$5x^{2}=0$$

Ikki tarafini 5 ga bo‘ling. Nol bo‘lmagan har qanday sonni nolga ko‘paytirsangiz, nol bo‘ladi.

$$x^{2}=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 1 ni a, 0 ni b va 0 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}}}{2}$$

0^{2} ning kvadrat ildizini chiqarish.

$$x=\frac{0±0}{2}$$

0 ni 2 ga bo'lish.

$$x=0$$