Question

Please help me figure this out! Thank you so much :( i really need it! ❤️

Answer 1

`\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)