Réitigh 4(8-5x)^2-49=-24

$$4 ( 8 - 5 x ) ^ { 2 } - 49 = - 24$$

Réitigh do x.

$$x = \frac{11}{10} = 1\frac{1}{10} = 1.1$$

$$x = \frac{21}{10} = 2\frac{1}{10} = 2.1$$

Céimeanna tríd an bhFréamh Chearnach a Fháil

Cuir 49 leis an dá thaobh den chothromóid.

$$4\left(-5x+8\right)^{2}-49+49=-24+49$$

Má dhealaítear 49 uaidh féin faightear 0.

$$4\left(-5x+8\right)^{2}=-24+49$$

Suimigh -24 le 49?

$$4\left(-5x+8\right)^{2}=25$$

Roinn an dá thaobh faoi 4.

$$\frac{4\left(-5x+8\right)^{2}}{4}=\frac{25}{4}$$

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

$$\left(-5x+8\right)^{2}=\frac{25}{4}$$

Tóg fréamh chearnach an dá thaobh den chothromóid.

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

Bain 8 ón dá thaobh den chothromóid.

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

Má dhealaítear 8 uaidh féin faightear 0.

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

Dealaigh 8 ó \frac{5}{2}.

$$-5x=-\frac{11}{2}$$

Dealaigh 8 ó -\frac{5}{2}.

$$-5x=-\frac{21}{2}$$

Roinn an dá thaobh faoi -5.

$$\frac{-5x}{-5}=-\frac{\frac{11}{2}}{-5} \frac{-5x}{-5}=-\frac{\frac{21}{2}}{-5}$$

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

$$x=-\frac{\frac{11}{2}}{-5} x=-\frac{\frac{21}{2}}{-5}$$

Roinn -\frac{11}{2} faoi -5.

$$x=\frac{11}{10}$$

Roinn -\frac{21}{2} faoi -5.

$$x=\frac{21}{10}$$

Tá an chothromóid réitithe anois.

$$x=\frac{11}{10} x=\frac{21}{10}$$