Datrys (A*B)^2=A^2*CD^3

$$( A \times B ) ^ { 2 } = A ^ { 2 } \times C D ^ { 3 }$$

Datrys ar gyfer A (complex solution)

$$\left\{\begin{matrix}\\A=0\text{, }&\text{unconditionally}\\A\in \mathrm{C}\text{, }&B=-\sqrt{C}D^{\frac{3}{2}}\text{ or }B=\sqrt{C}D^{\frac{3}{2}}\end{matrix}\right.$$

Camau drwy Ganfod Isradd

Ehangu \left(AB\right)^{2}.

$$A^{2}B^{2}=A^{2}CD^{3}$$

Tynnu A^{2}CD^{3} o'r ddwy ochr.

$$A^{2}B^{2}-A^{2}CD^{3}=0$$

Aildrefnu'r termau.

$$A^{2}B^{2}-CA^{2}D^{3}=0$$

Cyfuno pob term sy'n cynnwys A.

$$\left(B^{2}-CD^{3}\right)A^{2}=0$$

Mae rhannu â B^{2}-CD^{3} yn dad-wneud lluosi â B^{2}-CD^{3}.

$$A^{2}=\frac{0}{B^{2}-CD^{3}}$$

Rhannwch 0 â B^{2}-CD^{3}.

$$A^{2}=0$$

Cymryd isradd dwy ochr yr hafaliad.

$$A=0 A=0$$

Mae’r hafaliad wedi’i ddatrys nawr. Mae’r datrysiadau yr un peth.

$$A=0$$

Camau gan Ddefnyddio’r Fformiwla Cwadratig

Ehangu \left(AB\right)^{2}.

$$A^{2}B^{2}=A^{2}CD^{3}$$

Tynnu A^{2}CD^{3} o'r ddwy ochr.

$$A^{2}B^{2}-A^{2}CD^{3}=0$$

Aildrefnu'r termau.

$$A^{2}B^{2}-CA^{2}D^{3}=0$$

Cyfuno pob term sy'n cynnwys A.

$$\left(B^{2}-CD^{3}\right)A^{2}=0$$

Mae’r hafaliad hwn yn y ffurf safonol: ax^{2}+bx+c=0. Amnewidiwch B^{2}-CD^{3} am a, 0 am b, a 0 am c yn y fformiwla gwadratig, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$A=\frac{0±\sqrt{0^{2}}}{2\left(B^{2}-CD^{3}\right)}$$

Cymryd isradd 0^{2}.

$$A=\frac{0±0}{2\left(B^{2}-CD^{3}\right)}$$

Lluoswch 2 â B^{2}-CD^{3}.

$$A=\frac{0}{2B^{2}-2CD^{3}}$$

Rhannwch 0 â 2B^{2}-2D^{3}C.

$$A=0$$

Datrys ar gyfer B (complex solution)

$$\left\{\begin{matrix}\\B=-\sqrt{C}D^{\frac{3}{2}}\text{; }B=\sqrt{C}D^{\frac{3}{2}}\text{, }&\text{unconditionally}\\B\in \mathrm{C}\text{, }&A=0\end{matrix}\right.$$

Datrys ar gyfer A

$$\left\{\begin{matrix}\\A=0\text{, }&\text{unconditionally}\\A\in \mathrm{R}\text{, }&\left(B=0\text{ and }C=0\text{ and }D=0\right)\text{ or }\left(C\geq 0\text{ and }D\geq 0\text{ and }|B|=\sqrt{CD^{3}}\right)\text{ or }\left(D\leq 0\text{ and }C\leq 0\text{ and }|B|=\sqrt{CD^{3}}\right)\end{matrix}\right.$$

Datrys ar gyfer B

$$\left\{\begin{matrix}B\in \mathrm{R}\text{, }&A=0\\B=-\sqrt{CD^{3}}\text{; }B=\sqrt{CD^{3}}\text{, }&A\neq 0\text{ and }D\leq 0\text{ and }C\leq 0\\B=-\sqrt{C}D^{\frac{3}{2}}\text{; }B=\sqrt{C}D^{\frac{3}{2}}\text{, }&A\neq 0\text{ and }C\geq 0\text{ and }D\geq 0\end{matrix}\right.$$