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

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

y uchun yechish

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

Yechim qadamlari

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

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

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

$$y=-2x^{2}-4x-2-3$$

-5 olish uchun -2 dan 3 ni ayirish.

$$y=-2x^{2}-4x-5$$

x uchun yechish (complex solution)

$$x=-\frac{\sqrt{-2y-6}}{2}-1$$

$$x=\frac{\sqrt{-2y-6}}{2}-1$$

x uchun yechish

$$x=-\frac{\sqrt{-2y-6}}{2}-1$$

$$x=\frac{\sqrt{-2y-6}}{2}-1\text{, }y\leq -3$$