What is the answer to x+1/x-3=0 ?

The answer to x+1/x-3=0 is x=(3+sqrt(5))/2 ,x=(3-sqrt(5))/2

Solve for x: x+1/x-3=0

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

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x + \frac{1}{x} - 3 = 0

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

Decimal Notation

x = 2.61803 \dots, x = 0.38196 \dots

Solution steps

x + \frac{1}{x} - 3 = 0

Multiply both sides by

x

x^{2} + 1 - 3 x = 0

Solve

x^{2} + 1 - 3 x = 0 : 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}

c^{- 2} = \frac{1}{4}

\frac{8}{10} = \frac{6}{x}

x, \frac{f - 8}{x - 1} = 10

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

b^{- 1} = 2.718 2^{2}

What is the answer to x+1/x-3=0 ?
The answer to x+1/x-3=0 is x=(3+sqrt(5))/2 ,x=(3-sqrt(5))/2
Solve for x: x+1/x-3=0
The solution is x=(3+sqrt(5))/2 ,x=(3-sqrt(5))/2