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

The answer to x+1/x =5 is x=(5+sqrt(21))/2 ,x=(5-sqrt(21))/2

Solve for x: x+1/x =5

The solution is x=(5+sqrt(21))/2 ,x=(5-sqrt(21))/2

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

x = \frac{5 + 21}{2}, x = \frac{5 - 21}{2}

Decimal Notation

x = 4.79128 \dots, x = 0.20871 \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 + 21}{2}, x = \frac{5 - 21}{2}

x = \frac{5 + 21}{2}, x = \frac{5 - 21}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5 + 21}{2}, x = \frac{5 - 21}{2}

\frac{3}{8} = \frac{15}{a}

\frac{7}{b + 5} = \frac{10}{5}

a, u = \frac{k}{a}

4 x^{- 4} - 16 x^{- 2} + 4 = 0

\frac{10}{x} = 3

What is the answer to x+1/x =5 ?
The answer to x+1/x =5 is x=(5+sqrt(21))/2 ,x=(5-sqrt(21))/2
Solve for x: x+1/x =5
The solution is x=(5+sqrt(21))/2 ,x=(5-sqrt(21))/2