What is the answer to |sqrt(x-5)-2|=1 ?

The answer to |sqrt(x-5)-2|=1 is x=6\lor x=14

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|sqrt(x-5)-2|=1

x - 5 - 2 = 1

x = 6 or x = 14

Solution steps

x - 5 - 2 = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 5 - 2 = - 1 or x - 5 - 2 = 1

x - 5 - 2 = - 1 or x - 5 - 2 = 1

x = 6 or x = 14

x - 5 - 2 = 0

4 = ∣ 6 - 2 x ∣

\frac{2 x - 7}{5} = 5

∣ x - 360 ∣ = 30

0 = ∣ x - 8 ∣

What is the answer to |sqrt(x-5)-2|=1 ?
The answer to |sqrt(x-5)-2|=1 is x=6\lor x=14
Solve for x: |sqrt(x-5)-2|=1
The solution is x=6\lor x=14