What is the answer to x-1/x =5 ?

The answer to x-1/x =5 is x=(5+sqrt(29))/2 ,x=(5-sqrt(29))/2

Solve for x: x-1/x =5

The solution is x=(5+sqrt(29))/2 ,x=(5-sqrt(29))/2

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

x = \frac{5 + 29}{2}, x = \frac{5 - 29}{2}

Solution steps

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

Multiply both sides by

x

x^{2} - 1 = 5 x

Solve

x^{2} - 1 = 5 x : x = \frac{5 + 29}{2}, x = \frac{5 - 29}{2}

x = \frac{5 + 29}{2}, x = \frac{5 - 29}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5 + 29}{2}, x = \frac{5 - 29}{2}

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

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

x, y = \frac{2 x + 7}{2 x - 1}

\frac{4}{v} = \frac{v - 6}{v - 4}

k (x) = \frac{- 2 x - 15}{x + 9}, k (- 6 w)

What is the answer to x-1/x =5 ?
The answer to x-1/x =5 is x=(5+sqrt(29))/2 ,x=(5-sqrt(29))/2
Solve for x: x-1/x =5
The solution is x=(5+sqrt(29))/2 ,x=(5-sqrt(29))/2