What is the answer to (sqrt((20+x)/x))+(sqrt((20-x)/x))=sqrt(6) ?

The answer to (sqrt((20+x)/x))+(sqrt((20-x)/x))=sqrt(6) is x=12

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(sqrt((20+x)/x))+(sqrt((20-x)/x))=sqrt(6)

(\frac{20 + x}{x}) + (\frac{20 - x}{x}) = 6

x = 12

Solution steps

(\frac{20 + x}{x}) + (\frac{20 - x}{x}) = 6

Remove square roots

16 = \frac{24 ( 20 - x )}{x}

Solve

16 = \frac{24 ( 20 - x )}{x} : x = 12

x = 12

Verify Solutions:

x = 12

True

The solution is

x = 12

x - 2 = x - 8

11 n = 112 + 343

8 = x^{\frac{1}{3}}

2 + 3 x - 5 = x + 1

y = 8

What is the answer to (sqrt((20+x)/x))+(sqrt((20-x)/x))=sqrt(6) ?
The answer to (sqrt((20+x)/x))+(sqrt((20-x)/x))=sqrt(6) is x=12
Solve for x: (sqrt((20+x)/x))+(sqrt((20-x)/x))=sqrt(6)
The solution is x=12