Respuesta :

[tex]~~~~(x-2)^2 = 16\\\\\implies x-2 = \pm\sqrt{16}\\\\\implies x-2 = \pm4\\\\\implies x= \pm4 +2\\\\\implies x=-4+2~~ \text{or}~~ 4+2\\\\\implies x = -2~~ \text{or}~~ 6[/tex]

Answer:

[tex]x = - 2[/tex]

[tex]x = 6[/tex]

Step-by-step explanation:

[tex](x - 2)^{2} = 16[/tex]

[tex]x - 2 = ± \: 4[/tex]

[tex]x - 2 = - 4[/tex]

[tex]x - 2 = 4[/tex]

[tex]x = - 2[/tex]

[tex]x = 6[/tex]

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