# a=`3*sqrt((x/y)-((a^2)/2)` Express a in terms of x and y

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`a=3sqrt((x/y)-(a/2)^2)`

divide both side by 3

`a/3=sqrt((x/y)-(a/2)^2)`

squaring both side

`(a/3)^2=(x/y)-(a/2)^2`

`(a/3)^2+(a/2)^2=(x/y)`

`a^2(1/3+1/2)=(x/y)`

`a^2(5/6)=(x/y)`

`a^2=(6x)/(5y)`

`a=sqrt((6x)/(5y))`

(taken positive square root)