The solutions to the given quadratic equation can be determined using quadratic formula.
[tex]x= \frac{-b+- \sqrt{ b^{2} -4ac} }{2a} [/tex]
b =coefficient of x term = -3
a = coefficient of squared term = 1
c = constant term = 3
Using the values in the above formula we get:
[tex]x= \frac{3+- \sqrt{9-4(1)(3)} }{2(1)} \\ \\
x= \frac{3+- \sqrt{-3} }{2} \\ \\
x= \frac{3+- \sqrt{3}i }{2} [/tex]
Thus, option A gives the correct solution
