Solve for x
x=\sqrt{2}\left(\frac{1}{2}+\frac{1}{2}i\right)\approx 0.707106781+0.707106781i
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-ix=\sqrt{-i}
The equation is in standard form.
\frac{-ix}{-i}=\frac{\sqrt{2}\left(\frac{1}{2}-\frac{1}{2}i\right)}{-i}
Divide both sides by -i.
x=\frac{\sqrt{2}\left(\frac{1}{2}-\frac{1}{2}i\right)}{-i}
Dividing by -i undoes the multiplication by -i.
x=\sqrt{2}\left(\frac{1}{2}+\frac{1}{2}i\right)
Divide \left(\frac{1}{2}-\frac{1}{2}i\right)\sqrt{2} by -i.
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