3x(x-1)-(1+x)(-4)=2x^2-(1-x)(1+x)+4 eching

$$3 x ( x - 1 ) - ( 1 + x ) ( - 4 ) = 2 x ^ { 2 } - ( 1 - x ) ( 1 + x ) + 4$$

x uchun yechish

$$x=-1$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

3x ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3x^{2}-3x-\left(1+x\right)\left(-4\right)=2x^{2}-\left(1-x\right)\left(1+x\right)+4$$

1+x ga -4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3x^{2}-3x-\left(-4-4x\right)=2x^{2}-\left(1-x\right)\left(1+x\right)+4$$

-4-4x teskarisini topish uchun har birining teskarisini toping.

$$3x^{2}-3x+4+4x=2x^{2}-\left(1-x\right)\left(1+x\right)+4$$

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

$$3x^{2}+x+4=2x^{2}-\left(1-x\right)\left(1+x\right)+4$$

Hisoblang: \left(1-x\right)\left(1+x\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. 1 kvadratini chiqarish.

$$3x^{2}+x+4=2x^{2}-\left(1-x^{2}\right)+4$$

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

$$3x^{2}+x+4=2x^{2}-1+x^{2}+4$$

3x^{2} ni olish uchun 2x^{2} va x^{2} ni birlashtirish.

$$3x^{2}+x+4=3x^{2}-1+4$$

3 olish uchun -1 va 4'ni qo'shing.

$$3x^{2}+x+4=3x^{2}+3$$

Ikkala tarafdan 3x^{2} ni ayirish.

$$3x^{2}+x+4-3x^{2}=3$$

0 ni olish uchun 3x^{2} va -3x^{2} ni birlashtirish.

$$x+4=3$$

Ikkala tarafdan 4 ni ayirish.

$$x=3-4$$

-1 olish uchun 3 dan 4 ni ayirish.

$$x=-1$$