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Given 2x²=-8, x is
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2x {}^(2) = - 8 \\ x {}^(2) = ( - 8)/(2) \\ x {}^(2) = - 4 \\ x = ± √( - 4) \\ x_(1) = 2i \: \: \: \: \: \: x_(2) = - 2i

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