QuadraticOptimization[x^2+y^2,{x+y==2,0<=y<=2},{x,y}, Method->"GUROBI"]
{x->1.,y->1.}
QuadraticOptimization[2x^2+20y^2+6x y+5x,{-x+y>=2,y>=1},{x,y},Method -> "Gurobi"]
During evaluation QuadraticOptimization::badmtd: Method Gurobi is not one
of Automatic, "COIN", "CSDP", "DSDP", "SCS", "SuperSCS" or "PolyhedralApproximation".
QuadraticOptimization[5 x+2 x^2+6 x y+20 y^2,{-x+y>=2,y>=1},{x,y},Method->Gurobi]