解由(x2+y2-2x)√(x+y-3)=0
得x^2+y^2-2x=0且x+y-3≥0.①或√(x+y-3)=0.②
注意到不等式①无解
故由②得x+y-3=0
故(x2+y2-2x)根号x+y-3=0表示的曲线知直线x+y-3=0.