Réitigh 1/2by^2+nA_{s}y-nA_{s}d=0

$$\frac { 1 } { 2 } b y ^ { 2 } + n A _ { s } y - n A _ { s } d = 0$$

Réitigh do A_s. (complex solution)

$$\left\{\begin{matrix}A_{s}=-\frac{by^{2}}{2n\left(y-d\right)}\text{, }&y\neq d\text{ and }n\neq 0\\A_{s}\in \mathrm{C}\text{, }&\left(b=0\text{ and }y=d\right)\text{ or }\left(y=0\text{ and }d=0\right)\text{ or }\left(y=0\text{ and }n=0\text{ and }d\neq 0\right)\text{ or }\left(b=0\text{ and }n=0\text{ and }y\neq d\right)\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Bain \frac{1}{2}by^{2} ón dá thaobh. Is ionann rud ar bith a dhealaítear ó nialas agus a shéanadh.

$$nA_{s}y-nA_{s}d=-\frac{1}{2}by^{2}$$

Comhcheangail na téarmaí ar fad ina bhfuil A_{s}.

$$\left(ny-nd\right)A_{s}=-\frac{1}{2}by^{2}$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$\left(ny-dn\right)A_{s}=-\frac{by^{2}}{2}$$

Roinn an dá thaobh faoi ny-nd.

$$\frac{\left(ny-dn\right)A_{s}}{ny-dn}=-\frac{\frac{by^{2}}{2}}{ny-dn}$$

Má roinntear é faoi ny-nd cuirtear an iolrúchán faoi ny-nd ar ceal.

$$A_{s}=-\frac{\frac{by^{2}}{2}}{ny-dn}$$

Roinn -\frac{by^{2}}{2} faoi ny-nd.

$$A_{s}=-\frac{by^{2}}{2n\left(y-d\right)}$$

Réitigh do b. (complex solution)

$$\left\{\begin{matrix}b=-\frac{2A_{s}n\left(y-d\right)}{y^{2}}\text{, }&y\neq 0\\b\in \mathrm{C}\text{, }&\left(n=0\text{ or }A_{s}=0\text{ or }d=0\right)\text{ and }y=0\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Cuir nA_{s}d leis an dá thaobh.

$$\frac{1}{2}by^{2}+nA_{s}y=0+nA_{s}d$$

Is ionann rud ar bith móide nialas agus a shuim féin.

$$\frac{1}{2}by^{2}+nA_{s}y=nA_{s}d$$

Bain nA_{s}y ón dá thaobh.

$$\frac{1}{2}by^{2}=nA_{s}d-nA_{s}y$$

Athordaigh na téarmaí.

$$\frac{1}{2}by^{2}=-A_{s}ny+A_{s}dn$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$\frac{y^{2}}{2}b=A_{s}dn-A_{s}ny$$

Roinn an dá thaobh faoi \frac{1}{2}y^{2}.

$$\frac{2\times \frac{y^{2}}{2}b}{y^{2}}=\frac{2A_{s}n\left(d-y\right)}{y^{2}}$$

Má roinntear é faoi \frac{1}{2}y^{2} cuirtear an iolrúchán faoi \frac{1}{2}y^{2} ar ceal.

$$b=\frac{2A_{s}n\left(d-y\right)}{y^{2}}$$

Réitigh do A_s.

$$\left\{\begin{matrix}A_{s}=-\frac{by^{2}}{2n\left(y-d\right)}\text{, }&y\neq d\text{ and }n\neq 0\\A_{s}\in \mathrm{R}\text{, }&\left(b=0\text{ and }y=d\right)\text{ or }\left(y=0\text{ and }d=0\right)\text{ or }\left(y=0\text{ and }n=0\text{ and }d\neq 0\right)\text{ or }\left(b=0\text{ and }n=0\text{ and }y\neq d\right)\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Bain \frac{1}{2}by^{2} ón dá thaobh. Is ionann rud ar bith a dhealaítear ó nialas agus a shéanadh.

$$nA_{s}y-nA_{s}d=-\frac{1}{2}by^{2}$$

Comhcheangail na téarmaí ar fad ina bhfuil A_{s}.

$$\left(ny-nd\right)A_{s}=-\frac{1}{2}by^{2}$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$\left(ny-dn\right)A_{s}=-\frac{by^{2}}{2}$$

Roinn an dá thaobh faoi ny-nd.

$$\frac{\left(ny-dn\right)A_{s}}{ny-dn}=-\frac{\frac{by^{2}}{2}}{ny-dn}$$

Má roinntear é faoi ny-nd cuirtear an iolrúchán faoi ny-nd ar ceal.

$$A_{s}=-\frac{\frac{by^{2}}{2}}{ny-dn}$$

Roinn -\frac{by^{2}}{2} faoi ny-nd.

$$A_{s}=-\frac{by^{2}}{2n\left(y-d\right)}$$

Réitigh do b.

$$\left\{\begin{matrix}b=-\frac{2A_{s}n\left(y-d\right)}{y^{2}}\text{, }&y\neq 0\\b\in \mathrm{R}\text{, }&\left(n=0\text{ or }A_{s}=0\text{ or }d=0\right)\text{ and }y=0\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Cuir nA_{s}d leis an dá thaobh.

$$\frac{1}{2}by^{2}+nA_{s}y=0+nA_{s}d$$

Is ionann rud ar bith móide nialas agus a shuim féin.

$$\frac{1}{2}by^{2}+nA_{s}y=nA_{s}d$$

Bain nA_{s}y ón dá thaobh.

$$\frac{1}{2}by^{2}=nA_{s}d-nA_{s}y$$

Athordaigh na téarmaí.

$$\frac{1}{2}by^{2}=-A_{s}ny+A_{s}dn$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$\frac{y^{2}}{2}b=A_{s}dn-A_{s}ny$$

Roinn an dá thaobh faoi \frac{1}{2}y^{2}.

$$\frac{2\times \frac{y^{2}}{2}b}{y^{2}}=\frac{2A_{s}n\left(d-y\right)}{y^{2}}$$

Má roinntear é faoi \frac{1}{2}y^{2} cuirtear an iolrúchán faoi \frac{1}{2}y^{2} ar ceal.

$$b=\frac{2A_{s}n\left(d-y\right)}{y^{2}}$$