Answer: A
Step-by-step explanation:
x^2 - 3x + 5 = 0 - quadratic equation
Standard quadratic equation form: a^2 + bx + c = 0
- Here a = 1, b = -3, c = 5
- Discriminant formula: D = b^2 - 4ac
D = (-3)^2 - 4*1*5 = 9 - 20 = -11 (-11 < 0 => no real roots)
- x1 = (-b - sqrt(D)) / (2*a)
- x2 = (-b + sqrt(D)) / (2*a)
x1 = (3 - sqrt(-11)) / 2
x2 = (3 + sqrt(-11)) / 2
