Datrys y(1-p^2)(1+x%)=y

$$y ( 1 - p ^ { 2 } ) ( 1 + x \% ) = y$$

Datrys ar gyfer x

$$\left\{\begin{matrix}x=\frac{100p^{2}}{1-p^{2}}\text{, }&|p|\neq 1\\x\in \mathrm{R}\text{, }&y=0\end{matrix}\right.$$

Camau ar gyfer Datrys Hafaliad Llinol

Defnyddio’r briodwedd ddosbarthu i luosi y â 1-p^{2}.

$$\left(y-yp^{2}\right)\left(1+\frac{x}{100}\right)=y$$

Defnyddio’r briodwedd ddosbarthu i luosi y-yp^{2} â 1+\frac{x}{100}.

$$y+y\times \frac{x}{100}-yp^{2}-yp^{2}\times \frac{x}{100}=y$$

Mynegwch y\times \frac{x}{100} fel ffracsiwn unigol.

$$y+\frac{yx}{100}-yp^{2}-yp^{2}\times \frac{x}{100}=y$$

Mynegwch y\times \frac{x}{100} fel ffracsiwn unigol.

$$y+\frac{yx}{100}-yp^{2}-\frac{yx}{100}p^{2}=y$$

Mynegwch \frac{yx}{100}p^{2} fel ffracsiwn unigol.

$$y+\frac{yx}{100}-yp^{2}-\frac{yxp^{2}}{100}=y$$

Tynnu y o'r ddwy ochr.

$$\frac{yx}{100}-yp^{2}-\frac{yxp^{2}}{100}=y-y$$

Gan fod gan \frac{yx}{100} a \frac{yxp^{2}}{100} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

$$\frac{yx-yxp^{2}}{100}-yp^{2}=y-y$$

Cyfuno y a -y i gael 0.

$$\frac{yx-yxp^{2}}{100}-yp^{2}=0$$

Ychwanegu yp^{2} at y ddwy ochr. Mae adio unrhyw beth at sero yn cyrraedd ei swm ei hun.

$$\frac{yx-yxp^{2}}{100}=yp^{2}$$

Lluoswch ddwy ochr yr hafaliad â 100.

$$yx-yxp^{2}=100yp^{2}$$

Cyfuno pob term sy'n cynnwys x.

$$\left(y-yp^{2}\right)x=100yp^{2}$$

Rhannu’r ddwy ochr â y-yp^{2}.

$$\frac{\left(y-yp^{2}\right)x}{y-yp^{2}}=\frac{100yp^{2}}{y-yp^{2}}$$

Mae rhannu â y-yp^{2} yn dad-wneud lluosi â y-yp^{2}.

$$x=\frac{100yp^{2}}{y-yp^{2}}$$

Rhannwch 100yp^{2} â y-yp^{2}.

$$x=\frac{100p^{2}}{1-p^{2}}$$

Datrys ar gyfer p

$$\left\{\begin{matrix}p=\sqrt{\frac{x}{x+100}}\text{; }p=-\sqrt{\frac{x}{x+100}}\text{, }&x\geq 0\text{ or }x<-100\\p\in \mathrm{R}\text{, }&y=0\end{matrix}\right.$$