A) \[x=(-\sqrt{3}\,\,\pm \,\,2i)/2\]
B) \[x=(-\sqrt{3}\,\,\pm \,i)/2\]
C) \[x=(-\sqrt{3}\,\,\pm \,i)\]
D) \[x=(\sqrt{3}\,\,\pm \,i)/2\]
Correct Answer: D
Solution :
Given equation is \[{{x}^{2}}-\sqrt{3}x+1=0\] \[\therefore \] \[x=\frac{+\sqrt{3}\pm \sqrt{{{(-\sqrt{3})}^{2}}-4}}{2}\] \[=\frac{\sqrt{3}\pm \sqrt{3-4}}{2}=\frac{\sqrt{3}\pm i}{2}\]
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