Absolute value equation |x-3|=x

1 answer:

7 0

When $x\ge3$ , you have

$|x-3|=x\implies x-3=x\implies 0x=3$

which has no solution.

When $x$ ,

$|x-3|=x\implies -(x-3)=x\implies 2x=3\implies x=\dfrac32$

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