Solve 2\sqrt{\left|x-1\right|}

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 \in 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

Find the roots