loraleimc loraleimc
  • 23-11-2019
  • Mathematics
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what is x^2+4=0 over the set of complex numbers?

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jdoe0001 jdoe0001
  • 23-11-2019

[tex]\bf x^2+4=0\implies x^2=-4\implies x = \pm\sqrt{-4}\implies x = \pm\sqrt{-1\cdot 2^2} \\\\\\ x = \pm\sqrt{-1}\cdot \sqrt{2^2}\implies x = \pm 2i[/tex]

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