Solve the equation : $\;x^{2}-2x+\large\frac{3}{2}=0\;$

Question

$(a)\;\large\frac{2}{3} \pm \large\frac{4}{3} i\qquad(b)\;1\pm \large\frac{2}{3} i\qquad(c)\;\large\frac{5}{3} \pm \large\frac{4}{3} i\qquad(d)\;1 \pm \large\frac{\sqrt{2}}{2} i$