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]