What is the answer to 2|x-2|-1=0 ?

The answer to 2|x-2|-1=0 is x= 3/2 \lor x= 5/2

Solve for x: 2|x-2|-1=0

The solution is x= 3/2 \lor x= 5/2

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2 ∣ x - 2 ∣ - 1 = 0

x = \frac{3}{2} or x = \frac{5}{2}

Decimal Notation

x = 1.5, x = 2.5

Solution steps

2 ∣ x - 2 ∣ - 1 = 0

Move

1

to the right side

2 ∣ x - 2 ∣ = 1

Divide both sides by

2

∣ x - 2 ∣ = \frac{1}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 2 = - \frac{1}{2} or x - 2 = \frac{1}{2}

x - 2 = - \frac{1}{2} or x - 2 = \frac{1}{2}

x = \frac{3}{2} or x = \frac{5}{2}

∣ - 6 x ∣ = - 18

- 3 ∣ x + 2 ∣ = 9

3 ∣ d - 4 ∣ = 12

∣ x + 3 ∣ = x + 3

∣ 6 - 2 k ∣ = 18

What is the answer to 2|x-2|-1=0 ?
The answer to 2|x-2|-1=0 is x= 3/2 \lor x= 5/2
Solve for x: 2|x-2|-1=0
The solution is x= 3/2 \lor x= 5/2