Réitigh (x+3)^2/2=-1/3

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

Réitigh do x. (complex solution)

$$x=-\frac{\sqrt{6}i}{3}-3\approx -3-0.816496581i$$

$$x=\frac{\sqrt{6}i}{3}-3\approx -3+0.816496581i$$

Céimeanna tríd an bhFréamh Chearnach a Fháil

Má roinntear é faoi \frac{1}{2} cuirtear an iolrúchán faoi \frac{1}{2} ar ceal.

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

Roinn -\frac{1}{3} faoi \frac{1}{2} trí -\frac{1}{3} a mhéadú faoi dheilín \frac{1}{2}.

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

Tóg fréamh chearnach an dá thaobh den chothromóid.

$$x+3=\frac{\sqrt{6}i}{3} x+3=-\frac{\sqrt{6}i}{3}$$

Bain 3 ón dá thaobh den chothromóid.

$$x+3-3=\frac{\sqrt{6}i}{3}-3 x+3-3=-\frac{\sqrt{6}i}{3}-3$$

Má dhealaítear 3 uaidh féin faightear 0.

$$x=\frac{\sqrt{6}i}{3}-3 x=-\frac{\sqrt{6}i}{3}-3$$