What is the answer to |(x+1)/x |=4 ?

The answer to |(x+1)/x |=4 is x=-1/5 ,x= 1/3

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|(x+1)/x |=4

\frac{x + 1}{x} = 4

x = - \frac{1}{5}, x = \frac{1}{3}

Decimal

x = - 0.2, x = 0.33333 \dots

Solution steps

\frac{x + 1}{x} = 4

Simplify

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

\frac{∣ x + 1 ∣}{∣ x ∣} = 4

Multiply both sides by

∣ x ∣

∣ x + 1 ∣ = 4 ∣ x ∣

Solve

∣ x + 1 ∣ = 4 ∣ x ∣ : x = - \frac{1}{5} or x = \frac{1}{3}

x = - \frac{1}{5}, x = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{5}, x = \frac{1}{3}

\frac{x - 12}{x - 4} = \frac{3}{5}

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

\frac{y}{2 y + 1} = \frac{2}{5}

1 - \frac{2}{x} = - 6 x

\frac{5}{x ^{2} + x - 6} = 2 + \frac{x - 3}{x - 2}

What is the answer to |(x+1)/x |=4 ?
The answer to |(x+1)/x |=4 is x=-1/5 ,x= 1/3
Solve for x: |(x+1)/x |=4
The solution is x=-1/5 ,x= 1/3