Réitigh (0)=2nr^2x-1

$$( 0 ) = 2 n r ^ { 2 } x - 1$$

Réitigh do n.

$$n=\frac{1}{2xr^{2}}$$

$$x\neq 0\text{ and }r\neq 0$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Athraigh na taobhanna ionas go mbeidh na téarmaí inathraitheacha ar fad ar an taobh clé.

$$2nr^{2}x-1=0$$

Cuir 1 leis an dá thaobh. Is ionann rud ar bith móide nialas agus a shuim féin.

$$2nr^{2}x=1$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$2xr^{2}n=1$$

Roinn an dá thaobh faoi 2r^{2}x.

$$\frac{2xr^{2}n}{2xr^{2}}=\frac{1}{2xr^{2}}$$

Má roinntear é faoi 2r^{2}x cuirtear an iolrúchán faoi 2r^{2}x ar ceal.

$$n=\frac{1}{2xr^{2}}$$

Réitigh do r. (complex solution)

$$r=-\frac{\sqrt{2}n^{-\frac{1}{2}}x^{-\frac{1}{2}}}{2}$$

$$r=\frac{\sqrt{2}n^{-\frac{1}{2}}x^{-\frac{1}{2}}}{2}\text{, }x\neq 0\text{ and }n\neq 0$$

Réitigh do r.

$$r=\frac{\sqrt{\frac{2}{nx}}}{2}$$

$$r=-\frac{\sqrt{\frac{2}{nx}}}{2}\text{, }\left(x>0\text{ and }n>0\right)\text{ or }\left(n<0\text{ and }x<0\right)$$