What is the answer to | 7/(x-5)|=11 ?

The answer to | 7/(x-5)|=11 is x= 48/11 ,x= 62/11

Solve for x: | 7/(x-5)|=11

The solution is x= 48/11 ,x= 62/11

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\frac{7}{x - 5} = 11

x = \frac{48}{11}, x = \frac{62}{11}

Decimal Notation

x = 4.36363 \dots, x = 5.63636 \dots

Solution steps

\frac{7}{x - 5} = 11

Simplify

\frac{7}{x - 5} : \frac{7}{∣ x - 5 ∣}

\frac{7}{∣ x - 5 ∣} = 11

Multiply both sides by

∣ x - 5 ∣

7 = 11 ∣ x - 5 ∣

Solve

7 = 11 ∣ x - 5 ∣ : x = \frac{48}{11} or x = \frac{62}{11}

x = \frac{48}{11}, x = \frac{62}{11}

Verify Solutions

Find undefined (singularity) points:

x = 5

Combine undefined points with solutions:

x = \frac{48}{11}, x = \frac{62}{11}

3 x^{2} + 5 x - 2

9 x^{2} + 3 x - 1 = 0

36 x^{2} - 54 x - 36 = 0

\frac{3 2}{2}

56

What is the answer to | 7/(x-5)|=11 ?
The answer to | 7/(x-5)|=11 is x= 48/11 ,x= 62/11
Solve for x: | 7/(x-5)|=11
The solution is x= 48/11 ,x= 62/11