-2(x+1)^2-3=0 eching

$$- 2 ( x + 1 ) ^ { 2 } - 3 = 0$$

x uchun yechish (complex solution)

$$x=-\frac{\sqrt{6}i}{2}-1\approx -1-1,224744871i$$

$$x=\frac{\sqrt{6}i}{2}-1\approx -1+1,224744871i$$

Kvadrat ildizini topish bo'yicha qadamlar

O‘zidan 3 ayirilsa 0 qoladi.

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

Ikki tarafini -2 ga bo‘ling.

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

-2 ga bo'lish -2 ga ko'paytirishni bekor qiladi.

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

3 ni -2 ga bo'lish.

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

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

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

Tenglamaning ikkala tarafidan 1 ni ayirish.

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

O‘zidan 1 ayirilsa 0 qoladi.

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