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If ((a^2+1)/(2a-i))^2=x+i y , find the v...

If `((a^2+1)/(2a-i))^2=x+i y ,` find the value of `x^2+y^2dot`

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`((a^2+1)^2)/(2a-i)=x+iy`
`|((a^2+1)^2)/(2a-i)|=|x+iy|`
`|((a^2+1)^2)/(2a-i)|=|x+iy|=>((a^2+1)^2)/sqrt((2a)^2+(-1)^2)=sqrt(x^2+y^2)`
squaring on both side
`x^2+y^2=((a^2+1)^4)/(4a^2+1)`
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