# solution verification – How to proof this statement. “There are not odd integers x,y,z according to \$(x-z)^2\$ + \$(y-z)^2\$ = \$(x+y)^2\$.”

I did try to proof this by contradiction(I guess it works). So I suppose this statement is false but I have confused about the meaning of it.

If this statment is false it means “There are odd integers x,y,z according to $$(x-z)^2$$ + $$(y-z)^2$$ = $$(x+y)^2$$.” or “There are odd integers x,y,z according to $$(x-z)^2$$ + $$(y-z)^2$$ $$neq$$ $$(x+y)^2$$.” or…..

Is proof by contradiction a good method? and Could you help me how to do next from the statement that suppose to be false?

Thank you very much.