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

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

Solve for x: x-1/x =-1

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

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

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

Decimal Notation

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

Solution steps

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

Multiply both sides by

x

x^{2} - 1 = - x

Solve

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

x + 3 = \frac{60}{x - 1}

x - \frac{1}{x} = 10

\frac{6}{x - 5} = \frac{1}{x}

\frac{( x ^{2} + x )}{( x - 1 )} = 6

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