y=3(x-6)(x-4)/2 eching

$$y = \frac { 3 ( x - 6 ) ( x - 4 ) } { 2 }$$

y uchun yechish

$$y=\frac{3\left(x-6\right)\left(x-4\right)}{2}$$

Yechim qadamlari

3 ga x-6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$y=\frac{\left(3x-18\right)\left(x-4\right)}{2}$$

3x-18 ga x-4 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$y=\frac{3x^{2}-30x+72}{2}$$

\frac{3}{2}x^{2}-15x+36 natijani olish uchun 3x^{2}-30x+72 ning har bir ifodasini 2 ga bo‘ling.

$$y=\frac{3}{2}x^{2}-15x+36$$

x uchun yechish

$$x=\frac{\sqrt{6y+9}}{3}+5$$

$$x=-\frac{\sqrt{6y+9}}{3}+5\text{, }y\geq -\frac{3}{2}$$