Réitigh -2(x+1)^2-3=0

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

Réitigh do x. (complex solution)

$$x=-\frac{\sqrt{6}i}{2}-1\approx -1-1.224744871i$$

$$x=\frac{\sqrt{6}i}{2}-1\approx -1+1.224744871i$$

Céimeanna tríd an bhFréamh Chearnach a Fháil

Má dhealaítear 3 uaidh féin faightear 0.

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

Roinn an dá thaobh faoi -2.

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

Má roinntear é faoi -2 cuirtear an iolrúchán faoi -2 ar ceal.

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

Roinn 3 faoi -2.

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

Tóg fréamh chearnach an dá thaobh den chothromóid.

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

Bain 1 ón dá thaobh den chothromóid.

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

Má dhealaítear 1 uaidh féin faightear 0.

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