What is the answer to | 5/(x-2)|=15 ?

The answer to | 5/(x-2)|=15 is x= 5/3 ,x= 7/3

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| 5/(x-2)|=15

\frac{5}{x - 2} = 15

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

Decimal Notation

x = 1.66666 \dots, x = 2.33333 \dots

Solution steps

\frac{5}{x - 2} = 15

Simplify

\frac{5}{x - 2} : \frac{5}{∣ x - 2 ∣}

\frac{5}{∣ x - 2 ∣} = 15

Multiply both sides by

∣ x - 2 ∣

5 = 15 ∣ x - 2 ∣

Solve

5 = 15 ∣ x - 2 ∣ : x = \frac{5}{3} or x = \frac{7}{3}

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

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

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

3 x (x - 3) = 7 x^{2} - 10 x

\frac{6 m ^{4} n ^{7}}{12 m ^{5} n ^{8}}

- 5 < x \leq 2

49 g^{2} - 84 g + 36

\frac{π}{4} (\frac{180}{π})

What is the answer to | 5/(x-2)|=15 ?
The answer to | 5/(x-2)|=15 is x= 5/3 ,x= 7/3
Solve for x: | 5/(x-2)|=15
The solution is x= 5/3 ,x= 7/3