What is the answer to 11|x-9|=121 ?

The answer to 11|x-9|=121 is x=-2\lor x=20

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11|x-9|=121

11 ∣ x - 9 ∣ = 121

x = - 2 or x = 20

Solution steps

11 ∣ x - 9 ∣ = 121

Divide both sides by

11

∣ x - 9 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 9 = - 11 or x - 9 = 11

x - 9 = - 11 or x - 9 = 11

x = - 2 or x = 20

∣ x - 2 ∣ = - x^{2} + 4 x - 2

∣ s - 6 ∣ = 0

3 x - 6 = ∣ 2 x + 5 ∣ - 1

∣ 7 x + 4 ∣ = - 32

∣ x - 7 ∣ = 84