y=x(-2x+100)-18(-2x+100) eching

$$y = x ( - 2 x + 100 ) - 18 ( - 2 x + 100 )$$

y uchun yechish

$$y=2\left(50-x\right)\left(x-18\right)$$

Yechim qadamlari

x ga -2x+100 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$y=-2x^{2}+100x-18\left(-2x+100\right)$$

-18 ga -2x+100 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$y=-2x^{2}+100x+36x-1800$$

136x ni olish uchun 100x va 36x ni birlashtirish.

$$y=-2x^{2}+136x-1800$$

x uchun yechish (complex solution)

$$x=\frac{\sqrt{1024-2y}}{2}+34$$

$$x=-\frac{\sqrt{1024-2y}}{2}+34$$

x uchun yechish

$$x=\frac{\sqrt{1024-2y}}{2}+34$$

$$x=-\frac{\sqrt{1024-2y}}{2}+34\text{, }y\leq 512$$