Answer
$x=\frac{3}{2}i$ or $x=-\frac{3}{2}i$
Work Step by Step
$4x^2+9=0$
$4x^2=-9$
$x^2=-\frac{9}{4}$
$x=\sqrt(\frac{9}{4})i$ or $x=-\sqrt(\frac{9}{4})i$
$x=\frac{3}{2}i$ or $x=-\frac{3}{2}i$
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