Answer:
C
Explanation:
given
- 3(x - 2)² + 17 = 0 ( subtract 17 from both sides )
- 3(x - 2)² = - 17 ( divide both sides by - 3 )
(x - 2)² =
=
( take square root of both sides )
= ±
, that is
x - 2 = ±
( add 2 to both sides )
x = 2 ±

Then
x = 2 +
≈ 4.38 ( to the nearest hundredth )
x = 2 -
≈ - 0.38 ( to the nearest hundredth )