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19-11-2017
Mathematics

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Use square roots to solve the equation x^2 = -64 over the complex numbers.

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19-11-2017

[tex]\bf x^2=-64\implies x=\pm\sqrt{-64}\implies x=\pm\sqrt{-1\cdot 64} \\\\\\ x=\pm\sqrt{-1}\cdot \sqrt{64}\implies x=\pm i\cdot 8\implies x=\pm 8i[/tex]

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