What is the answer to |(2x-1)/(x+1)|=1 ?

The answer to |(2x-1)/(x+1)|=1 is x=0,x=2

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|(2x-1)/(x+1)|=1

\frac{2 x - 1}{x + 1} = 1

x = 0, x = 2

Solution steps

\frac{2 x - 1}{x + 1} = 1

Simplify

\frac{2 x - 1}{x + 1} : \frac{∣ 2 x - 1 ∣}{∣ x + 1 ∣}

\frac{∣ 2 x - 1 ∣}{∣ x + 1 ∣} = 1

Multiply both sides by

∣ x + 1 ∣

∣ 2 x - 1 ∣ = ∣ x + 1 ∣

Solve

∣ 2 x - 1 ∣ = ∣ x + 1 ∣ : x = 0 or x = 2

x = 0, x = 2

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = 0, x = 2

3 x - 2 \geq 11

3 x^{2} + 14 x + 8

x^{2} + 6 x = 0

x^{2} = 24

- 5 + 7 + 2 k - 3 k = k - 8

What is the answer to |(2x-1)/(x+1)|=1 ?
The answer to |(2x-1)/(x+1)|=1 is x=0,x=2
Solve for x: |(2x-1)/(x+1)|=1
The solution is x=0,x=2