Respuesta :

Answer:

[tex]x= +2\sqrt{5} or -2\sqrt{5}[/tex]

Step-by-step explanation:

for the given equation,

[tex]4 - x^{2} = -16[/tex]

using rules of equation and inverse operations as isolating x on one side of equation,

interchanging sides  of equation  we get,

[tex]x^{2} =20[/tex]

[tex]x= +\sqrt{20} or x= -\sqrt{20}[/tex]

[tex]x= +2\sqrt{5}  or x= -2\sqrt{5}[/tex]