Réitigh left(6x+2right)^2-10=0

$${ \left(6x+2 \right) }^{ 2 } -10=0$$

Réitigh do x.

$$x=\frac{\sqrt{10}}{6}-\frac{1}{3}\approx 0.193712943$$

$$x=-\frac{\sqrt{10}}{6}-\frac{1}{3}\approx -0.86037961$$

Céimeanna tríd an bhFréamh Chearnach a Fháil

Cuir 10 leis an dá thaobh den chothromóid.

$$\left(6x+2\right)^{2}-10+10=10$$

Má dhealaítear 10 uaidh féin faightear 0.

$$\left(6x+2\right)^{2}=10$$

Tóg fréamh chearnach an dá thaobh den chothromóid.

$$6x+2=\sqrt{10} 6x+2=-\sqrt{10}$$

Bain 2 ón dá thaobh den chothromóid.

$$6x+2-2=\sqrt{10}-2 6x+2-2=-\sqrt{10}-2$$

Má dhealaítear 2 uaidh féin faightear 0.

$$6x=\sqrt{10}-2 6x=-\sqrt{10}-2$$

Dealaigh 2 ó \sqrt{10}.

$$6x=\sqrt{10}-2$$

Dealaigh 2 ó -\sqrt{10}.

$$6x=-\sqrt{10}-2$$

Roinn an dá thaobh faoi 6.

$$\frac{6x}{6}=\frac{\sqrt{10}-2}{6} \frac{6x}{6}=\frac{-\sqrt{10}-2}{6}$$

Má roinntear é faoi 6 cuirtear an iolrúchán faoi 6 ar ceal.

$$x=\frac{\sqrt{10}-2}{6} x=\frac{-\sqrt{10}-2}{6}$$

Roinn \sqrt{10}-2 faoi 6.

$$x=\frac{\sqrt{10}}{6}-\frac{1}{3}$$

Roinn -\sqrt{10}-2 faoi 6.

$$x=-\frac{\sqrt{10}}{6}-\frac{1}{3}$$

Tá an chothromóid réitithe anois.

$$x=\frac{\sqrt{10}}{6}-\frac{1}{3} x=-\frac{\sqrt{10}}{6}-\frac{1}{3}$$