c=(x+1)(2+x)-(x+1)(4x-8) eching

$$c = ( x + 1 ) ( 2 + x ) - ( x + 1 ) ( 4 x - 8 )$$

c uchun yechish

$$c=\left(10-3x\right)\left(x+1\right)$$

Yechim qadamlari

x+1 ga 2+x ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$c=3x+x^{2}+2-\left(x+1\right)\left(4x-8\right)$$

x+1 ga 4x-8 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$c=3x+x^{2}+2-\left(4x^{2}-4x-8\right)$$

4x^{2}-4x-8 teskarisini topish uchun har birining teskarisini toping.

$$c=3x+x^{2}+2-4x^{2}+4x+8$$

-3x^{2} ni olish uchun x^{2} va -4x^{2} ni birlashtirish.

$$c=3x-3x^{2}+2+4x+8$$

7x ni olish uchun 3x va 4x ni birlashtirish.

$$c=7x-3x^{2}+2+8$$

10 olish uchun 2 va 8'ni qo'shing.

$$c=7x-3x^{2}+10$$

x uchun yechish (complex solution)

$$x=\frac{\sqrt{169-12c}+7}{6}$$

$$x=\frac{-\sqrt{169-12c}+7}{6}$$

x uchun yechish

$$x=\frac{\sqrt{169-12c}+7}{6}$$

$$x=\frac{-\sqrt{169-12c}+7}{6}\text{, }c\leq \frac{169}{12}$$