Datrys W=-1/2t^2+(14+2a)t-96a+48

$$W = - \frac { 1 } { 2 } t ^ { 2 } + ( 14 + 2 a ) t - 96 a + 48$$

Datrys ar gyfer a

$$\left\{\begin{matrix}a=-\frac{96-2W+28t-t^{2}}{4\left(t-48\right)}\text{, }&t\neq 48\\a\in \mathrm{R}\text{, }&W=-432\text{ and }t=48\end{matrix}\right.$$

Camau ar gyfer Datrys Hafaliad Llinol

Defnyddio’r briodwedd ddosbarthu i luosi 14+2a â t.

$$W=-\frac{1}{2}t^{2}+14t+2at-96a+48$$

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$-\frac{1}{2}t^{2}+14t+2at-96a+48=W$$

Ychwanegu \frac{1}{2}t^{2} at y ddwy ochr.

$$14t+2at-96a+48=W+\frac{1}{2}t^{2}$$

Tynnu 14t o'r ddwy ochr.

$$2at-96a+48=W+\frac{1}{2}t^{2}-14t$$

Tynnu 48 o'r ddwy ochr.

$$2at-96a=W+\frac{1}{2}t^{2}-14t-48$$

Cyfuno pob term sy'n cynnwys a.

$$\left(2t-96\right)a=W+\frac{1}{2}t^{2}-14t-48$$

Mae'r hafaliad yn y ffurf safonol.

$$\left(2t-96\right)a=\frac{t^{2}}{2}+W-14t-48$$

Rhannu’r ddwy ochr â 2t-96.

$$\frac{\left(2t-96\right)a}{2t-96}=\frac{\frac{t^{2}}{2}+W-14t-48}{2t-96}$$

Mae rhannu â 2t-96 yn dad-wneud lluosi â 2t-96.

$$a=\frac{\frac{t^{2}}{2}+W-14t-48}{2t-96}$$

Rhannwch W+\frac{t^{2}}{2}-14t-48 â 2t-96.

$$a=\frac{t^{2}-28t+2W-96}{4\left(t-48\right)}$$

Datrys ar gyfer W

$$W=2at-\frac{t^{2}}{2}+14t-96a+48$$

Camau Ateb

Defnyddio’r briodwedd ddosbarthu i luosi 14+2a â t.

$$W=-\frac{1}{2}t^{2}+14t+2at-96a+48$$