ແກ້ (ax+b)^2=c

$$( a x + b ) ^ { 2 } = c$$

ແກ້ສຳລັບ a (complex solution)

$$\left\{\begin{matrix}a\in \mathrm{C}\text{, }&\left(b=-\sqrt{c}\text{ or }b=\sqrt{c}\right)\text{ and }x=0\\a=-\frac{b+\sqrt{c}}{x}\text{; }a=-\frac{b-\sqrt{c}}{x}\text{, }&x\neq 0\end{matrix}\right,$$

ແກ້ສຳລັບ b (complex solution)

$$b=-\left(ax+\sqrt{c}\right)$$

$$b=-ax+\sqrt{c}$$

ແກ້ສຳລັບ a

$$\left\{\begin{matrix}a\in \mathrm{R}\text{, }&c\geq 0\text{ and }x=0\text{ and }|b|=\sqrt{c}\\a=-\frac{b+\sqrt{c}}{x}\text{; }a=-\frac{b-\sqrt{c}}{x}\text{, }&x\neq 0\text{ and }c\geq 0\end{matrix}\right,$$

ແກ້ສຳລັບ b

$$b=-\left(ax+\sqrt{c}\right)$$

$$b=-ax+\sqrt{c}\text{, }c\geq 0$$