What is the answer to 1+1/x =x ?

The answer to 1+1/x =x is x=(1+sqrt(5))/2 ,x=(1-sqrt(5))/2

Solve for x: 1+1/x =x

The solution is x=(1+sqrt(5))/2 ,x=(1-sqrt(5))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

x = \frac{1 + 5}{2}, x = \frac{1 - 5}{2}

Decimal Notation

x = 1.61803 \dots, x = - 0.61803 \dots

Solution steps

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

Multiply both sides by

x

x + 1 = x^{2}

Solve

x + 1 = x^{2} : x = \frac{1 + 5}{2}, x = \frac{1 - 5}{2}

x = \frac{1 + 5}{2}, x = \frac{1 - 5}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1 + 5}{2}, x = \frac{1 - 5}{2}

7 - \frac{2}{x - 4} = 5

3 + \frac{x - 2}{x - 4} = 2

\frac{x}{x - 3} + 2 = \frac{3}{x - 3}

\frac{x - 7}{x - 9} = \frac{2}{x - 9}

68.4 = (\frac{46.3}{x}) \cdot 100

What is the answer to 1+1/x =x ?
The answer to 1+1/x =x is x=(1+sqrt(5))/2 ,x=(1-sqrt(5))/2
Solve for x: 1+1/x =x
The solution is x=(1+sqrt(5))/2 ,x=(1-sqrt(5))/2