Question

Solve the equation `|3x-4|=|3x-5|`?

Answer 1

`x=3/2`

Explanation:

As `|3x-4|=|3x-5|`, we have

either `3x-4=3x-5` i.e. `-4=-5`, which is not possible

or `3x-4=-(3x-5)` i.e. `3x-4=-3x+5` i.e. `6x=9` `3x-4=-(3x-5)`

and `x=9/6=3/2`, which is the only aswer.