To solve this equation, we can use the quadratic formula.
The quadratic formula is given by:
x = (-b ± √(b² - 4ac)) / 2a
In this equation, a = 1, b = -4, and c = 6.
Plugging these values into the formula, we get:
x = (4 ± √((-4)² - 416)) / 2*1
x = (4 ± √(16 - 24)) / 2
x = (4 ± √(-8)) / 2
x = (4 ± 2√2i) / 2
x = 2 ± √2i
Therefore, the solutions to the equation are x = 2 + √2i and x = 2 - √2i.
