√(x^2-2x+6)=t>=0 x^2-2x+6=t^2 x^2-2x=t^2-6 方程化为:2(t^2-6)+3t=15 2t^2+3t-27=0 (2t+9)(t-3)=0 t=-4.5(舍去) or 3 因此:x^2-2x+6=t=9 x^2-2x-3=0 (x-3)(x+1)=0 x=3 or -1