1 Answer

SteveGSD · Answer 1 · 2021-02-20T15:29:57+0000

Answer:

$\textbf{A. }x=2i\text{ or }x=-2i\\\\\textbf{B. }(x+2i)(x-2i)$

Explanation:

The quadratic can be solved in a straightforward way:

$x^2+4=0\\\\x^2=-4\qquad\text{subtract 4}\\\\x=\pm√(-4)\qquad\text{take the square root}\\\\x=\pm2i\qquad\text{simplify}$

This tells you that the solutions are ...

2i or -2i

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For each root of "a", (x -a) is a factor. Thus the factors of the equation are ...

(x +2i)(x -2i)

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