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

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

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

The solution is x=(sqrt(5)+1)/2 ,x=(sqrt(5)-1)/2

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

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{x ^{2} + 1}{x ^{2}} = 0

x^{- 3} - 9 x^{2} + 8 = 0

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

T, f = \frac{1}{T}

\frac{4}{x} = \frac{2}{19}

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