√﹙3x+6﹚=√﹙x﹢3﹚﹢1,3x+6>=0,x>=-1/2;x+3>=0,x>=-3,x的取值范围:x>=-1/23x+6=x+3+1+2√(x+3)2x+2=2√﹙x+3﹚4x^2+4﹢8x=4﹙x﹢3﹚x^2﹢x-2=0(x+2)(x-1)=0x=-2(不合题意,舍去)x=1
√﹙3x+6﹚=√﹙x﹢3﹚﹢1两边平方得:3x+6=x+3+1+2√(x+3)即:2x+2=2√﹙x+3﹚两边平方得:4x^2+4﹢8x=4﹙x﹢3﹚即:x^2﹢x-2=0x=-2或1