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Please help me                          llxl+2l=2

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4 votes
There is only one solution to the problem and that is x=0.
Please help me                          llxl+2l=2-example-1
User Tolis Gerodimos
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4 votes

||x|+2|=2

if x≥0 then |x|=x
if x<0 then |x|=-x

1) for x≥0


|x+2|=2 \\ x+2=2 \ \lor \ x+2=-2 \\ x=0 \in D \ \lor \ x=-4 \\otin D


2) for x<0


|-x+2|=2 \\ -x+2=2 \ \lor \ -x+2=-2 \\ -x=0 \ \lor \ -x=-4 \\ x=0 \\otin D \ \lor \ x=4 \\otin D

The answer is:

x=0
User Rbbn
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