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

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

Solve for x: x= 1/x+2

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

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

x = 1 + 2, x = 1 - 2

Decimal Notation

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

Solution steps

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

Multiply both sides by

x

x^{2} = 1 + 2 x

Solve

x^{2} = 1 + 2 x : 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

\frac{2}{g + 3} - \frac{1}{g + 1} = 0

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

\frac{3}{y - 2} - 2 = \frac{1}{y - 1}

\frac{11}{2} = \frac{33}{x}

0.9 = \frac{2.47 x}{1 + 1.47 x}

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