Réitigh 4(8x-1)^2=49

$$4 ( 8 x - 1 ) ^ { 2 } = 49$$

Réitigh do x.

$$x=\frac{9}{16}=0.5625$$

$$x=-\frac{5}{16}=-0.3125$$

Céimeanna tríd an bhFréamh Chearnach a Fháil

Roinn an dá thaobh faoi 4.

$$\frac{4\left(8x-1\right)^{2}}{4}=\frac{49}{4}$$

Má roinntear é faoi 4 cuirtear an iolrúchán faoi 4 ar ceal.

$$\left(8x-1\right)^{2}=\frac{49}{4}$$

Tóg fréamh chearnach an dá thaobh den chothromóid.

$$8x-1=\frac{7}{2} 8x-1=-\frac{7}{2}$$

Cuir 1 leis an dá thaobh den chothromóid.

$$8x-1-\left(-1\right)=\frac{7}{2}-\left(-1\right) 8x-1-\left(-1\right)=-\frac{7}{2}-\left(-1\right)$$

Má dhealaítear -1 uaidh féin faightear 0.

$$8x=\frac{7}{2}-\left(-1\right) 8x=-\frac{7}{2}-\left(-1\right)$$

Dealaigh -1 ó \frac{7}{2}.

$$8x=\frac{9}{2}$$

Dealaigh -1 ó -\frac{7}{2}.

$$8x=-\frac{5}{2}$$

Roinn an dá thaobh faoi 8.

$$\frac{8x}{8}=\frac{\frac{9}{2}}{8} \frac{8x}{8}=-\frac{\frac{5}{2}}{8}$$

Má roinntear é faoi 8 cuirtear an iolrúchán faoi 8 ar ceal.

$$x=\frac{\frac{9}{2}}{8} x=-\frac{\frac{5}{2}}{8}$$

Roinn \frac{9}{2} faoi 8.

$$x=\frac{9}{16}$$

Roinn -\frac{5}{2} faoi 8.

$$x=-\frac{5}{16}$$

Tá an chothromóid réitithe anois.

$$x=\frac{9}{16} x=-\frac{5}{16}$$