Réitigh 5(x+1.5)^2-7=0

$$5 ( x + 1.5 ) ^ { 2 } - 7 = 0$$

Réitigh do x.

$$x=\frac{\sqrt{35}}{5}-1.5\approx -0.316784043$$

$$x=-\frac{\sqrt{35}}{5}-1.5\approx -2.683215957$$

Céimeanna tríd an bhFréamh Chearnach a Fháil

Cuir 7 leis an dá thaobh den chothromóid.

$$5\left(x+1.5\right)^{2}-7+7=7$$

Má dhealaítear 7 uaidh féin faightear 0.

$$5\left(x+1.5\right)^{2}=7$$

Roinn an dá thaobh faoi 5.

$$\frac{5\left(x+1.5\right)^{2}}{5}=\frac{7}{5}$$

Má roinntear é faoi 5 cuirtear an iolrúchán faoi 5 ar ceal.

$$\left(x+1.5\right)^{2}=\frac{7}{5}$$

Tóg fréamh chearnach an dá thaobh den chothromóid.

$$x+1.5=\frac{\sqrt{35}}{5} x+1.5=-\frac{\sqrt{35}}{5}$$

Bain 1.5 ón dá thaobh den chothromóid.

$$x+1.5-1.5=\frac{\sqrt{35}}{5}-1.5 x+1.5-1.5=-\frac{\sqrt{35}}{5}-1.5$$

Má dhealaítear 1.5 uaidh féin faightear 0.

$$x=\frac{\sqrt{35}}{5}-1.5 x=-\frac{\sqrt{35}}{5}-1.5$$

Dealaigh 1.5 ó \frac{\sqrt{35}}{5}.

$$x=\frac{\sqrt{35}}{5}-\frac{3}{2}$$

Dealaigh 1.5 ó -\frac{\sqrt{35}}{5}.

$$x=-\frac{\sqrt{35}}{5}-\frac{3}{2}$$

Tá an chothromóid réitithe anois.

$$x=\frac{\sqrt{35}}{5}-\frac{3}{2} x=-\frac{\sqrt{35}}{5}-\frac{3}{2}$$