What is the answer to 3|x-1|-1=11 ?

The answer to 3|x-1|-1=11 is x=-3\lor x=5

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3|x-1|-1=11

3 ∣ x - 1 ∣ - 1 = 11

x = - 3 or x = 5

Solution steps

3 ∣ x - 1 ∣ - 1 = 11

Move

1

to the right side

3 ∣ x - 1 ∣ = 12

Divide both sides by

3

∣ x - 1 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 1 = - 4 or x - 1 = 4

x - 1 = - 4 or x - 1 = 4

x = - 3 or x = 5

3 (x - y)^{2} - 2 (x - y)

2 r + 49 = - 8 (- r - 5)

a^{2} + 5 a - 36 = 0

- 2 \leq - 2 x + 2 < 12

3 x^{2} + 16 x + 16