Answer:
x = 6 ± [tex]\sqrt{2}[/tex]
Step-by-step explanation:
To find the zeros equate f(x) to zero , that is
2(x - 6)² - 4 = 0 ( add 4 to both sides )
2(x - 6)² = 4 ( divide both sides by 2 )
(x - 6)² = 2 ( take square root of both sides )
x - 6 = ± [tex]\sqrt{2}[/tex] ( add 6 to both sides )
x = 6 ± [tex]\sqrt{2}[/tex]
The zeros are x = 6 - [tex]\sqrt{2}[/tex] , x = 6 + [tex]\sqrt{2}[/tex]