What is the answer to |(x+1)/(x-2)|=4 ?

The answer to |(x+1)/(x-2)|=4 is x= 7/5 ,x=3

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|(x+1)/(x-2)|=4

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

x = \frac{7}{5}, x = 3

Decimal Notation

x = 1.4, x = 3

Solution steps

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

Simplify

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

\frac{∣ x + 1 ∣}{∣ x - 2 ∣} = 4

Multiply both sides by

∣ x - 2 ∣

∣ x + 1 ∣ = 4 ∣ x - 2 ∣

Solve

∣ x + 1 ∣ = 4 ∣ x - 2 ∣ : x = \frac{7}{5} or x = 3

x = \frac{7}{5}, x = 3

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{7}{5}, x = 3

(x) = \frac{x ^{2} - 7 x + 12}{7 x}

\frac{3}{2.7} = \frac{12}{y}

\frac{1}{x} + \frac{3}{x + 2} = 2

\frac{1}{x} = 10

3 x - 1 = \frac{5 x + 2}{x - 2}

What is the answer to |(x+1)/(x-2)|=4 ?
The answer to |(x+1)/(x-2)|=4 is x= 7/5 ,x=3
Solve for x: |(x+1)/(x-2)|=4
The solution is x= 7/5 ,x=3