What is the answer to 9|n-1|=81 ?

The answer to 9|n-1|=81 is n=-8\lor n=10

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9|n-1|=81

9 ∣ n - 1 ∣ = 81

n = - 8 or n = 10

Solution steps

9 ∣ n - 1 ∣ = 81

Divide both sides by

9

∣ n - 1 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

n - 1 = - 9 or n - 1 = 9

n - 1 = - 9 or n - 1 = 9

n = - 8 or n = 10

∣ 9 x - 47 ∣ = - 43

x^{2} - 7 x + 4 = 0

∣ b + 3 ∣ - 3 = 5

9 ∣ 29 - 8 x ∣ = 2 x + 3

∣ P + 35 ∣ = 10