What is the answer to |5x|=1 ?

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

The solution is x=-1/5 \lor x= 1/5

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|5x|=1

∣ 5 x ∣ = 1

x = - \frac{1}{5} or x = \frac{1}{5}

Solution steps

∣ 5 x ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x = - 1 or 5 x = 1

5 x = - 1 or 5 x = 1

x = - \frac{1}{5} or x = \frac{1}{5}

3 x + 6 = 5 x + 18

9 x^{2} - 64

5 ∣ x + 4 ∣ \leq 10

3 x^{2} - 12 x - 7 = 0

(n + 2) (n - 2) = 0