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

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

Solve for x: x-1= 1/x

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

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x - 1 = \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

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

Multiply both sides by

x

x^{2} - x = 1

Solve

x^{2} - x = 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{a x + b}{c x + d} = 5

\frac{a x + b}{c x + d} = 3

0 = \frac{2 x}{x - 1}

x + \frac{3}{x - 2} = 6

\frac{2}{x} = \frac{5}{100}

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