Question

Absolute value equation |x-3|=x

Answer 1

When
`x\ge3`, you have


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

which has no solution.

When
`x<3`,


`|x-3|=x\implies -(x-3)=x\implies 2x=3\implies x=\frac32`