How would I write a quadratic equation having the given numbers as solutions

4i, -4i

2 answers

factors would be
(x-4i)(x+4i)
so x^2 - 16i^2 = 0
x^2 + 16 = 0

or x = ±4i
square both sides
x^2 = 16i^2
x^2 = -16
x^2 + 16 = 0
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