解方程|2x-|3x+2||=5望详细解答!
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即2x-|3x+2|=±5
2x-|3x+2|=-5
x<=-2/3时,3x+2<=0
2x-(-3x-2)=-5
5x+2=-5
x=-7/5,符合x<=-2/3
x>-2/3,则3x+2>0
2x-(3x+2)=-5
-x-2=-5
x=3,符合x>-2/3
2x-|3x+2|=5
x<=-2/3时,3x+2<=0
2x-(-3x-2)=5
5x+2=5
x=3/5,不符合x<=-2/3
x>-2/3,则3x+2>0
2x-(3x+2)=5
-x-2=5
x=-7,符合不x>-2/3
所以
x=-7/5,x=3
2x-|3x+2|=-5
x<=-2/3时,3x+2<=0
2x-(-3x-2)=-5
5x+2=-5
x=-7/5,符合x<=-2/3
x>-2/3,则3x+2>0
2x-(3x+2)=-5
-x-2=-5
x=3,符合x>-2/3
2x-|3x+2|=5
x<=-2/3时,3x+2<=0
2x-(-3x-2)=5
5x+2=5
x=3/5,不符合x<=-2/3
x>-2/3,则3x+2>0
2x-(3x+2)=5
-x-2=5
x=-7,符合不x>-2/3
所以
x=-7/5,x=3
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