What is the answer to 3|x-1|-9=0 ?

The answer to 3|x-1|-9=0 is x=-2\lor x=4

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3|x-1|-9=0

3 ∣ x - 1 ∣ - 9 = 0

x = - 2 or x = 4

Solution steps

3 ∣ x - 1 ∣ - 9 = 0

Move

9

to the right side

3 ∣ x - 1 ∣ = 9

Divide both sides by

3

∣ x - 1 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 1 = - 3 or x - 1 = 3

x - 1 = - 3 or x - 1 = 3

x = - 2 or x = 4

x^{2} - ∣ x ∣ - 72 = 0

∣ z ∣ + 7 = 17

- ∣ x + 1 ∣ - 2 = 0

∣ 6 x + 5 ∣ - 5 = - 2

∣ m + 2 ∣ - 3 = - 1