Question

Determine the zeros of the function f(x) = 2(x – 6)^2 – 4

Answer 1

x = 6 ±
`√(2)`

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 = ±
`√(2)` ( add 6 to both sides )

x = 6 ±
`√(2)`

The zeros are x = 6 -
`√(2)` , x = 6 +
`√(2)`