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

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

Solve for x: 2+1/x =x

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

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

x = 1 + 2, x = 1 - 2

Decimal Notation

x = 2.41421 \dots, x = - 0.41421 \dots

Solution steps

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

Multiply both sides by

x

2 x + 1 = x^{2}

Solve

2 x + 1 = x^{2} : x = 1 + 2, x = 1 - 2

x = 1 + 2, x = 1 - 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1 + 2, x = 1 - 2

2 b + 2 (\frac{24}{b}) = 52

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

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

\frac{x + 6}{x - 2} = 5

y, x = \frac{y}{y ^{2} + 1}

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