Solve Ba^2=b^2

$$B a ^ { 2 } = b ^ { 2 }$$

Solve for B (complex solution)

$$\left\{\begin{matrix}B=\left(\frac{b}{a}\right)^{2}\text{, }&a\neq 0\\B\in \mathrm{C}\text{, }&b=0\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$a^{2}B=b^{2}$$

Divide both sides by a^{2}.

$$\frac{a^{2}B}{a^{2}}=\frac{b^{2}}{a^{2}}$$

Dividing by a^{2} undoes the multiplication by a^{2}.

$$B=\frac{b^{2}}{a^{2}}$$

Solve for B

$$\left\{\begin{matrix}B=\left(\frac{b}{a}\right)^{2}\text{, }&a\neq 0\\B\in \mathrm{R}\text{, }&b=0\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$a^{2}B=b^{2}$$

Divide both sides by a^{2}.

$$\frac{a^{2}B}{a^{2}}=\frac{b^{2}}{a^{2}}$$

Dividing by a^{2} undoes the multiplication by a^{2}.

$$B=\frac{b^{2}}{a^{2}}$$

Solve for a (complex solution)

$$\left\{\begin{matrix}a=-B^{-\frac{1}{2}}b\text{; }a=B^{-\frac{1}{2}}b\text{, }&B\neq 0\\a\in \mathrm{C}\text{, }&b=0\text{ and }B=0\end{matrix}\right.$$

Solve for a

$$\left\{\begin{matrix}a=\frac{b}{\sqrt{B}}\text{; }a=-\frac{b}{\sqrt{B}}\text{, }&B>0\\a=0\text{, }&b=0\text{ and }B\neq 0\\a\in \mathrm{R}\text{, }&b=0\text{ and }B=0\end{matrix}\right.$$