Question
Find the roots
x1=0,x2=2
Evaluate
∣∣x−1∣−1∣
To find the roots of the expression,set the expression equal to 0
∣∣x−1∣−1∣=0
Rewrite the expression
∣x−1∣−1=0
Move the constant to the right-hand side and change its sign
∣x−1∣=0+1
Removing 0 doesn't change the value,so remove it from the expression
∣x−1∣=1
Separate the equation into 2 possible cases
x−1=1x−1=−1
Solve the equation for x
More Steps

Evaluate
x−1=1
Move the constant to the right-hand side and change its sign
x=1+1
Add the numbers
x=2
x=2x−1=−1
Solve the equation for x
More Steps

Evaluate
x−1=−1
Move the constant to the right-hand side and change its sign
x=−1+1
Add the numbers
x=0
x=2x=0
Solution
x1=0,x2=2
Show Solution
