What is the answer to x=3-1/x ?

The answer to x=3-1/x is x=(3+sqrt(5))/2 ,x=(3-sqrt(5))/2

The solution is x=(3+sqrt(5))/2 ,x=(3-sqrt(5))/2

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x=3-1/x

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

x = \frac{3 + 5}{2}, x = \frac{3 - 5}{2}

Decimal Notation

x = 2.61803 \dots, x = 0.38196 \dots

Solution steps

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

Multiply both sides by

x

x^{2} = 3 x - 1

Solve

x^{2} = 3 x - 1 : x = \frac{3 + 5}{2}, x = \frac{3 - 5}{2}

x = \frac{3 + 5}{2}, x = \frac{3 - 5}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{3 + 5}{2}, x = \frac{3 - 5}{2}

\frac{x}{5} = \frac{2 x}{( x + 3 )}

\frac{1}{( x - 1 ) ^{2}} = 0

f^{- 1} (6) = 3

\frac{x ^{2} + 2 x - 8}{x ^{2} - x - 2} = 3

\frac{( x - 2 ) ^{2}}{3 - 2 x} = 0

What is the answer to x=3-1/x ?
The answer to x=3-1/x is x=(3+sqrt(5))/2 ,x=(3-sqrt(5))/2
Solve for x: x=3-1/x
The solution is x=(3+sqrt(5))/2 ,x=(3-sqrt(5))/2