What is the answer to |1-1/x |-3=0 ?

The answer to |1-1/x |-3=0 is x=-1/2 \lor x= 1/4

Solve for x: |1-1/x |-3=0

The solution is x=-1/2 \lor x= 1/4

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1 - \frac{1}{x} - 3 = 0

x = - \frac{1}{2} or x = \frac{1}{4}

Decimal Notation

x = - 0.5, x = 0.25

Solution steps

1 - \frac{1}{x} - 3 = 0

Move

3

to the right side

1 - \frac{1}{x} = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

1 - \frac{1}{x} = - 3 or 1 - \frac{1}{x} = 3

1 - \frac{1}{x} = - 3 or 1 - \frac{1}{x} = 3

x = - \frac{1}{2} or x = \frac{1}{4}

10 ∣ 4 + 7 x ∣ - 6 = 94

5 ∣ x - 4 ∣ - 10 = 0

15 = 5 ∣ g ∣

∣ 2 x ∣ = x^{2} - 3 x - 6

∣ k ∣ - 7 = 0

What is the answer to |1-1/x |-3=0 ?
The answer to |1-1/x |-3=0 is x=-1/2 \lor x= 1/4
Solve for x: |1-1/x |-3=0
The solution is x=-1/2 \lor x= 1/4