Question

$${ x }^{ 2 } +ax+b=(x-1)(x-3)$$

Solve for a (complex solution)

$\left\{\begin{matrix}a=-\frac{4x+b-3}{x}\text{, }&x\neq 0\\a\in \mathrm{C}\text{, }&x=0\text{ and }b=3\end{matrix}\right.$

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Solve for a

$\left\{\begin{matrix}a=-\frac{4x+b-3}{x}\text{, }&x\neq 0\\a\in \mathrm{R}\text{, }&x=0\text{ and }b=3\end{matrix}\right.$

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Solve for b

$b=3-4x-ax$

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