Question

Ok so I am just wondering if I am correct?
|x| = 0 only has one solution but why does it only have one? Can someone explain to me?

Answer 1

|-1|=|1|=1
|-4|=|4|=1
.......
only 0 is special case. To make it more "visual", think of |x| as the length of a segment of line. So -1, and 1 has same length. Only 0 has 0 length

Answer 2

|x| represents the distance that the number x is from zero.

Answer 3

So |0| is 0 because it's at the exact location of zero.

Answer 4

another way to see this
to solve this type of problem you create 2 different equations,
|x|= a becomes x= a and -x= a
this gives you 2 answers: x=a and x= -a
but if a=0 -0 is really just 0 (no such thing as a -0). so only 1 solution when a is 0

Answer 5

Since 0 is the only number that fits this description, this means that |x| = 0 has only one solution.

Answer 6

Because there is no such thing as 'negative 0' .. [or even 'positive zero'] .. As Jim Thompson mentioned 'its at the exact location of 0' ... Thus it can only be one soltion