Answer:
x = 2 ± [tex]\sqrt{2}[/tex]
Step-by-step explanation:
isolate (x - 2)² by adding 8 to both sides and dividing by 2
2(x - 2)² = 4
(x - 2)² = 2 ( take the square root of both sides )
[tex]\sqrt{(x-2)^2}[/tex] = ± [tex]\sqrt{2}[/tex]
x - 2 = ± [tex]\sqrt{2}[/tex] ( add 2 to both sides )
x = 2 ± [tex]\sqrt{2}[/tex] ← solutions
