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x to the 2 power = -169 solve for X

Sagot :

[tex]x^2=-169\\\\in\ the\ real\ numbers\ set\ (\mathbb{R})\ no\ solution\to x\in\O\\\\in\ the\ complex\ _numbers\ set\ (\mathbb{C}):\\\\i=\sqrt{-1}\\\\therefore:\\\\x^2=-169\\\\x=\pm\sqrt{-169}[/tex]

[tex]x=\pm\sqrt{-1\cdot169}\\\\x=\pm(\sqrt{-1}\cdot\sqrt{169})\\\\x=\pm(i\cdot\sqrt{13^2})\\\\\boxed{x=\pm13i}[/tex]
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