22-02-2017
Mathematics

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absolute value equation |x-3|=x

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LammettHash LammettHash

22-02-2017

When [tex]x\ge3[/tex], you have

[tex]|x-3|=x\implies x-3=x\implies 0x=3[/tex]

which has no solution.

When [tex]x<3[/tex],

[tex]|x-3|=x\implies -(x-3)=x\implies 2x=3\implies x=\dfrac32[/tex]

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