2y^2+9(y-2)=(2y-3)(y+6) eching

$$2 y ^ { 2 } + 9 ( y - 2 ) = ( 2 y - 3 ) ( y + 6 )$$

y uchun yechish (complex solution)

$$y\in \mathrm{C}$$

Yechim qadamlari

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

$$2y^{2}+9y-18=\left(2y-3\right)\left(y+6\right)$$

2y-3 ga y+6 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$2y^{2}+9y-18=2y^{2}+9y-18$$

Ikkala tarafdan 2y^{2} ni ayirish.

$$2y^{2}+9y-18-2y^{2}=9y-18$$

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

$$9y-18=9y-18$$

Ikkala tarafdan 9y ni ayirish.

$$9y-18-9y=-18$$

0 ni olish uchun 9y va -9y ni birlashtirish.

$$-18=-18$$

-18 va -18 ni taqqoslang.

$$\text{true}$$

Bu har qanday y uchun to‘g‘ri.

$$y\in \mathrm{C}$$

y uchun yechish

$$y\in \mathrm{R}$$

Yechim qadamlari

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

$$2y^{2}+9y-18=\left(2y-3\right)\left(y+6\right)$$

2y-3 ga y+6 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$2y^{2}+9y-18=2y^{2}+9y-18$$

Ikkala tarafdan 2y^{2} ni ayirish.

$$2y^{2}+9y-18-2y^{2}=9y-18$$

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

$$9y-18=9y-18$$

Ikkala tarafdan 9y ni ayirish.

$$9y-18-9y=-18$$

0 ni olish uchun 9y va -9y ni birlashtirish.

$$-18=-18$$

-18 va -18 ni taqqoslang.

$$\text{true}$$

Bu har qanday y uchun to‘g‘ri.

$$y\in \mathrm{R}$$