What is the answer to 1= 2/(sqrt(1+1/x)) ?

The answer to 1= 2/(sqrt(1+1/x)) is x= 1/3

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1= 2/(sqrt(1+1/x))

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

x = \frac{1}{3}

Decimal

x = 0.33333 \dots

Solution steps

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

Multiply both sides by

1 + \frac{1}{x}

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

Simplify

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

Square both sides:

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

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

Solve

1 + \frac{1}{x} = 4 : x = \frac{1}{3}

x = \frac{1}{3}

Verify Solutions:

x = \frac{1}{3}

True

The solution is

x = \frac{1}{3}

2 t + 15 = t

x^{\frac{3}{2}} - 2 x^{\frac{1}{2}} + x = 0

3 v = 2

x + 13 - 8 = - 2

4 x - 7 + 12 = 28

What is the answer to 1= 2/(sqrt(1+1/x)) ?
The answer to 1= 2/(sqrt(1+1/x)) is x= 1/3
Solve for x: 1= 2/(sqrt(1+1/x))
The solution is x= 1/3