Question: How do I Shade Between Implicitly Defined Curves

I have two simple implicitly defined curves: 0.5y^2-x-3 = 0 and x+y=1. I would like to plot these curves implicitly and shade the region enclosed by them. I've tried using the plots:-implicitplot( ) as shown, but I can't get just the enclosed region to be shaded. I know how to acheive this using the explicit equations. I am looking for an implicitplot solution, assuming there is one.
 

with(plots)``

implicitplot([.5*y^2-x-3 = 0, x-y = 1], x = -5 .. 8, y = -5 .. 5, filledregions = true, coloring = [red, white])

 

``


 

Download shade_implicitplot.mwshade_implicitplot.mw

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