Final answer:
To find the value of x in the given equation, we need to solve the quadratic equation.
Step-by-step explanation:
To find the value of x in the given equation, we need to solve the quadratic equation.
2x² - 2x + 2 = 0
Now, we can use the quadratic formula: x = (-b ± sqrt(b² - 4ac)) / (2a)
Plugging in the values for a, b, and c in the equation, we get:
x = (-(-2) ± sqrt((-2)² - 4(2)(2))) / (2(2))
Simplifying further, we get two possible values for x:
x = (1 ± sqrt(3)i) / 2