What is the answer to sqrt(6/(4x-54))= 1/7 ?

The answer to sqrt(6/(4x-54))= 1/7 is x=87

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sqrt(6/(4x-54))= 1/7

\frac{6}{4 x - 54} = \frac{1}{7}

x = 87

Solution steps

\frac{6}{4 x - 54} = \frac{1}{7}

Square both sides:

\frac{3}{2 x - 27} = \frac{1}{49}

\frac{3}{2 x - 27} = \frac{1}{49}

Solve

\frac{3}{2 x - 27} = \frac{1}{49} : x = 87

x = 87

Verify Solutions:

x = 87

True

The solution is

x = 87

3 x + 84 + 13 = 22

x - 11 + x + 4 = 5

2 x - 15 - 2 = - 1

2 x + 1 = 3

4 x + 61 - 18 = - 11

What is the answer to sqrt(6/(4x-54))= 1/7 ?
The answer to sqrt(6/(4x-54))= 1/7 is x=87
Solve for x: sqrt(6/(4x-54))= 1/7
The solution is x=87