Question
Find the roots
x=1
Evaluate
2∣x−1∣
To find the roots of the expression,set the expression equal to 0
2∣x−1∣=0
Since the left-hand side is always positive or 0,and the right-hand side is always 0,the statement is true for any value of x
2∣x−1∣=0,x∈R
Calculate
2∣x−1∣=0
Rewrite the expression
∣x−1∣=0
The only way a root could be 0 is when the radicand equals 0
∣x−1∣=0
Rewrite the expression
x−1=0
Move the constant to the right-hand side and change its sign
x=0+1
Solution
x=1
Show Solution
