Réitigh y=dx^2

$$y = d x ^ { 2 }$$

Réitigh do d. (complex solution)

$$\left\{\begin{matrix}d=\frac{y}{x^{2}}\text{, }&x\neq 0\\d\in \mathrm{C}\text{, }&y=0\text{ and }x=0\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

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

$$dx^{2}=y$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$x^{2}d=y$$

Roinn an dá thaobh faoi x^{2}.

$$\frac{x^{2}d}{x^{2}}=\frac{y}{x^{2}}$$

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

$$d=\frac{y}{x^{2}}$$

Réitigh do d.

$$\left\{\begin{matrix}d=\frac{y}{x^{2}}\text{, }&x\neq 0\\d\in \mathrm{R}\text{, }&y=0\text{ and }x=0\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

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

$$dx^{2}=y$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$x^{2}d=y$$

Roinn an dá thaobh faoi x^{2}.

$$\frac{x^{2}d}{x^{2}}=\frac{y}{x^{2}}$$

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

$$d=\frac{y}{x^{2}}$$

Réitigh do x. (complex solution)

$$\left\{\begin{matrix}x=-d^{-\frac{1}{2}}\sqrt{y}\text{; }x=d^{-\frac{1}{2}}\sqrt{y}\text{, }&d\neq 0\\x\in \mathrm{C}\text{, }&y=0\text{ and }d=0\end{matrix}\right.$$

Réitigh do x.

$$\left\{\begin{matrix}x=\sqrt{\frac{y}{d}}\text{; }x=-\sqrt{\frac{y}{d}}\text{, }&\left(y\geq 0\text{ and }d>0\right)\text{ or }\left(y\leq 0\text{ and }d<0\right)\\x\in \mathrm{R}\text{, }&y=0\text{ and }d=0\end{matrix}\right.$$