Explicación paso a paso:
[tex]x(x - 4) = 1 \\ {x}^{2} - 4x - 1 = 0 \\ {x}^{2} - 4x + 4 = - 1 - 4 \\ ( {x - 2)}^{2} = - 5 \\ \\ \sqrt{( {x - 2)}^{2} } = \sqrt{ - 5} \\ x - 2 = i \sqrt{5} \\ x = 2 + i \sqrt{5} [/tex]
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Explicación paso a paso:
[tex]x(x - 4) = 1 \\ {x}^{2} - 4x - 1 = 0 \\ {x}^{2} - 4x + 4 = - 1 - 4 \\ ( {x - 2)}^{2} = - 5 \\ \\ \sqrt{( {x - 2)}^{2} } = \sqrt{ - 5} \\ x - 2 = i \sqrt{5} \\ x = 2 + i \sqrt{5} [/tex]