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

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

Solve for x: x-1/x =sqrt(5)

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

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

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

Decimal Notation

x = 2.61803 \dots, x = - 0.38196 \dots

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

5 + A = \frac{A ^{3} + 1}{A ^{2} + 1}

r, S = \frac{a _{1}}{1 - r}

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

\frac{3}{2} = \frac{9}{10 k}

x, x^{- 2} = a

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