What is the answer to x-1/x =4 ?

The answer to x-1/x =4 is x=2+sqrt(5),x=2-sqrt(5)

Solve for x: x-1/x =4

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

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x - \frac{1}{x} = 4

x = 2 + 5, x = 2 - 5

Decimal Notation

x = 4.23606 \dots, x = - 0.23606 \dots

Solution steps

x - \frac{1}{x} = 4

Multiply both sides by

x

x^{2} - 1 = 4 x

Solve

x^{2} - 1 = 4 x : x = 2 + 5, x = 2 - 5

x = 2 + 5, x = 2 - 5

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2 + 5, x = 2 - 5

\frac{- 2}{x + 5} = \frac{8}{x - 3}

\frac{3}{5 - x} + \frac{2 x}{5} = 25

\frac{2}{x + 4} = \frac{7}{x - 1}

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

x^{- 2} = 9

What is the answer to x-1/x =4 ?
The answer to x-1/x =4 is x=2+sqrt(5),x=2-sqrt(5)
Solve for x: x-1/x =4
The solution is x=2+sqrt(5),x=2-sqrt(5)