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Find the all complex numbers satisying t...

Find the all complex numbers satisying the equation `2|z|^(2)+z^(2)-5+isqrt(3)=0, wherei=sqrt(-1).`

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The correct Answer is:
`((1)/(sqrt(6)), - (3)/(sqrt(2))),(-(1)/(sqrt(6)),(3)/(sqrt(2))),(sqrt((3)/(2)),-(1)/(sqrt(2)))(-sqrt((3)/(2)),(1)/(sqrt(2)))`
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