y=4(x-1)^2-4 eching

$$y = 4 ( x - 1 ) ^ { 2 } - 4$$

y uchun yechish

$$y=4x\left(x-2\right)$$

Yechim qadamlari

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

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

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

$$y=4x^{2}-8x+4-4$$

0 olish uchun 4 dan 4 ni ayirish.

$$y=4x^{2}-8x$$

x uchun yechish (complex solution)

$$x=-\frac{\sqrt{y+4}}{2}+1$$

$$x=\frac{\sqrt{y+4}}{2}+1$$

x uchun yechish

$$x=-\frac{\sqrt{y+4}}{2}+1$$

$$x=\frac{\sqrt{y+4}}{2}+1\text{, }y\geq -4$$