What is the answer to 3+2sqrt(2)=(x+1)/x ?

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

Solve for x: 3+2sqrt(2)=(x+1)/x

The solution is x=(sqrt(2)-1)/2

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3 + 22 = \frac{x + 1}{x}

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

Decimal Notation

x = 0.20710 \dots

Solution steps

3 + 22 = \frac{x + 1}{x}

Multiply both sides by

x

3 x + 22 x = x + 1

Move

x

to the left side

2 x + 22 x = 1

Factor

2 x + 22 x : 2 (1 + 2) x

2 (1 + 2) x = 1

Divide both sides by

2 (1 + 2)

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{2 - x}{5 + 3 x} = \frac{12 + 1}{2}

3.067 = \frac{1.85}{v} + \frac{v ^{2}}{2} \cdot 9.81

10 x^{- 2} - 9 - x^{- 4} = 0

\frac{250}{200} = \frac{62.5}{x}

\frac{11.9}{x} = 3.14

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