y=3(x-1)^2-5 eching

$$y = 3 ( x - 1 ) ^ { 2 } - 5$$

y uchun yechish

$$y=3\left(x-1\right)^{2}-5$$

Yechim qadamlari

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(x-1\right)^{2} kengaytirilishi uchun ishlating.

$$y=3\left(x^{2}-2x+1\right)-5$$

3 ga x^{2}-2x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$y=3x^{2}-6x+3-5$$

-2 olish uchun 3 dan 5 ni ayirish.

$$y=3x^{2}-6x-2$$

x uchun yechish (complex solution)

$$x=-\frac{\sqrt{3y+15}}{3}+1$$

$$x=\frac{\sqrt{3y+15}}{3}+1$$

x uchun yechish

$$x=-\frac{\sqrt{3y+15}}{3}+1$$

$$x=\frac{\sqrt{3y+15}}{3}+1\text{, }y\geq -5$$