Réitigh y=4ac-b^2/4a

$$y = \frac { 4 a c - b ^ { 2 } } { 4 a }$$

Réitigh do a.

$$\left\{\begin{matrix}a=-\frac{b^{2}}{4\left(y-c\right)}\text{, }&b\neq 0\text{ and }y\neq c\\a\neq 0\text{, }&b=0\text{ and }y=c\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Ní féidir leis an athróg a a bheith comhionann le 0 toisc nach bhfuil an roinnt faoi nialas sainithe. Méadaigh an dá thaobh den chothromóid faoi 4a.

$$y\times 4a=4ac-b^{2}$$

Bain 4ac ón dá thaobh.

$$y\times 4a-4ac=-b^{2}$$

Comhcheangail na téarmaí ar fad ina bhfuil a.

$$\left(y\times 4-4c\right)a=-b^{2}$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$\left(4y-4c\right)a=-b^{2}$$

Roinn an dá thaobh faoi 4y-4c.

$$\frac{\left(4y-4c\right)a}{4y-4c}=-\frac{b^{2}}{4y-4c}$$

Má roinntear é faoi 4y-4c cuirtear an iolrúchán faoi 4y-4c ar ceal.

$$a=-\frac{b^{2}}{4y-4c}$$

Roinn -b^{2} faoi 4y-4c.

$$a=-\frac{b^{2}}{4\left(y-c\right)}$$

Ní féidir leis an athróg a a bheith comhionann le 0.

$$a=-\frac{b^{2}}{4\left(y-c\right)}\text{, }a\neq 0$$

Réitigh do b. (complex solution)

$$b=-2\sqrt{a}\sqrt{c-y}$$

$$b=2\sqrt{a}\sqrt{c-y}\text{, }a\neq 0$$

Réitigh do b.

$$b=2\sqrt{a\left(c-y\right)}$$

$$b=-2\sqrt{a\left(c-y\right)}\text{, }\left(a<0\text{ or }y\leq c\right)\text{ and }\left(a>0\text{ or }y\geq c\right)\text{ and }a\neq 0$$