Answer:
Two solutions
Step-by-step explanation:
Let's clear the variable x.
Since x is squared we apply square root to clear
[tex]x^2=1\\\sqrt{x^2}= 1[/tex]
We have the following term [tex]\sqrt{x^2}[/tex]
This term corresponds to the formula of a absolute value of a number.
The absolute value of a number is its distance from zero on a number line
[tex]x^2=1\\\sqrt{x^2}= 1\\\|x\|=1[/tex]
[tex]x=1\\x=-1[/tex]
the absolute value of x is equal to 1 this means that x takes all the values that are at a distance of one unit from zero on the real line
The numbers that have a distance of 1 unit from zero would be 1 and also -1 (as it is a distance the module is always positive)