What is the answer to |9x-17|=1 ?

The answer to |9x-17|=1 is x= 16/9 \lor x=2

Solve for x: |9x-17|=1

The solution is x= 16/9 \lor x=2

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∣ 9 x - 17 ∣ = 1

x = \frac{16}{9} or x = 2

Solution steps

∣ 9 x - 17 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 x - 17 = - 1 or 9 x - 17 = 1

9 x - 17 = - 1 or 9 x - 17 = 1

x = \frac{16}{9} or x = 2

3 - x^{2} = ∣ 2 x ∣

∣ 5 x - 6 ∣ + 3 = 10

- 4 ∣ x + 9 ∣ = - 24

- 5 + 2 ∣ 2 x - 4 ∣ = 13

9 ∣ - 8 - 5 x ∣ = 18