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March 30, 2017

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When dealing with imaginary and complex numbers, are there 2 solutions?

I.e.: x^2=4
x=2,-2

For: x^2=-4
x=2i or -2i ?

(Is there a 2i and -2i, like for real numbers?)

  • Algebra 2 - ,

    try it

    (2i)^2 = 4 i^2 = 4(-1) = -4
    (-2i)^2 = 4 i^2 = 4(-1) =-4 sure enough

    In other words, yes

  • Algebra 2 - ,

    Thank you!

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