Answer:
x² - 6x + 6 = 0
Explanation:
Given the roots are x = 3 -
and x = 3 +
, then the corresponding factors are
(x - (3 -
) ) and (x - (3 +
) ), that is
(x - 3 +
) and (x - 3 -
)
The equation is then the product of the factors
(x - 3 +
)(x - 3 -
) = 0
(x - 3)² - (
)² = 0
x² - 6x + 9 - 3 = 0
x² - 6x + 6 = 0