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 = -1
a = coefficient of squared term = 4
c = constant term = 9
Using the values in the above formula we get:
[tex]x= \frac{1+- \sqrt{1-4(4)(9)} }{2(4)} \\ \\
x= \frac{1+- \sqrt{-143} }{8} \\ \\
x= \frac{1+-i \sqrt{143} }{8} [/tex]
So, option D gives the correct answers
