What is the answer to |sqrt(x)-6|=3 ?

The answer to |sqrt(x)-6|=3 is x=9\lor x=81

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|sqrt(x)-6|=3

x - 6 = 3

x = 9 or x = 81

Solution steps

x - 6 = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 6 = - 3 or x - 6 = 3

x - 6 = - 3 or x - 6 = 3

x = 9 or x = 81

∣ a - x ∣

∣ x + 3 ∣ - 4 ∣ x - 3 ∣ = 0

∣ 2 x + 3 ∣ = - 8

∣ 2 x - 3 ∣ = ∣ x ∣

∣ 5 x - 7 ∣ = 11

What is the answer to |sqrt(x)-6|=3 ?
The answer to |sqrt(x)-6|=3 is x=9\lor x=81
Solve for x: |sqrt(x)-6|=3
The solution is x=9\lor x=81