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

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

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

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1=x-1/x

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

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

Decimal Notation

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

Solution steps

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

Multiply both sides by

x

x = x^{2} - 1

Solve

x = x^{2} - 1 : 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}

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

\frac{60}{x} + \frac{10}{10} = 1

\frac{x - 4}{x - 9} = 9

\frac{3}{4 x + 2} = \frac{1}{3}

- \frac{72}{x ^{2}} + 2 = 0

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