How do I stop the roots of a tree from killing my grass?

I have 2 blue spruce and a red maple tree on the front lawn...For the longest time I thought it was thre blue spruces killing the grass, but now have figured it is the root system of the maple tree that is causing this. Every year I reseed the areas and by mid July it is all dead again. I can see the roots starting to come above the surface. Not sure if I actually tore up the lawn and put new rolls down and built up the base if that would just be a futile attempt to keep fighting it. I...

How do I stop the roots of a tree from killing my grass?