Datrys 4x/(x+16)(x+4)=y

$$\frac { 4 x } { ( x + 16 ) ( x + 4 ) } = y$$

Datrys ar gyfer y

$$y=\frac{4x}{\left(x+4\right)\left(x+16\right)}$$

$$x\neq -16\text{ and }x\neq -4$$

Camau ar gyfer Datrys Hafaliad Llinol

Lluoswch ddwy ochr yr hafaliad â \left(x+4\right)\left(x+16\right).

$$4x=y\left(x+4\right)\left(x+16\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi y â x+4.

$$4x=\left(yx+4y\right)\left(x+16\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi yx+4y â x+16 a chyfuno termau tebyg.

$$4x=yx^{2}+20yx+64y$$

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

$$yx^{2}+20yx+64y=4x$$

Cyfuno pob term sy'n cynnwys y.

$$\left(x^{2}+20x+64\right)y=4x$$

Rhannu’r ddwy ochr â x^{2}+20x+64.

$$\frac{\left(x^{2}+20x+64\right)y}{x^{2}+20x+64}=\frac{4x}{x^{2}+20x+64}$$

Mae rhannu â x^{2}+20x+64 yn dad-wneud lluosi â x^{2}+20x+64.

$$y=\frac{4x}{x^{2}+20x+64}$$

Rhannwch 4x â x^{2}+20x+64.

$$y=\frac{4x}{\left(x+4\right)\left(x+16\right)}$$

Datrys ar gyfer x

$$\left\{\begin{matrix}x=-\frac{2\left(\sqrt{\left(y-1\right)\left(9y-1\right)}+5y-1\right)}{y}\text{; }x=-\frac{2\left(-\sqrt{\left(y-1\right)\left(9y-1\right)}+5y-1\right)}{y}\text{, }&y\geq 1\text{ or }\left(y\neq 0\text{ and }y\leq \frac{1}{9}\right)\\x=0\text{, }&y=0\end{matrix}\right.$$