Answer: A. x = 1 ± i√2
Explanation:
The given quadratic equation is expressed as
x² - 2x + 3 = 0
The equation is already in the standard form of ax² + bx + c
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = 1
b = - 2
c = 3
Therefore,
x = [- - 2 ± √(- 2² - 4 × 1 × 3)]/2 × 1
x = [2 ± √(4 - 12)]/2
x = [2 ± √- 8]/2
x = 2/2 ± (2i√2)/2
x = 1 ± i√2