What is the answer to x+1/x =7 ?

The answer to x+1/x =7 is x=(7+3sqrt(5))/2 ,x=(7-3sqrt(5))/2

Solve for x: x+1/x =7

The solution is x=(7+3sqrt(5))/2 ,x=(7-3sqrt(5))/2

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x + \frac{1}{x} = 7

x = \frac{7 + 3 5}{2}, x = \frac{7 - 3 5}{2}

Decimal Notation

x = 6.85410 \dots, x = 0.14589 \dots

Solution steps

x + \frac{1}{x} = 7

Multiply both sides by

x

x^{2} + 1 = 7 x

Solve

x^{2} + 1 = 7 x : x = \frac{7 + 3 5}{2}, x = \frac{7 - 3 5}{2}

x = \frac{7 + 3 5}{2}, x = \frac{7 - 3 5}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{7 + 3 5}{2}, x = \frac{7 - 3 5}{2}

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

\frac{7}{x - 3} = \frac{9}{x + 9}

36 x^{- 4} - 13 x^{- 2} + 1 = 0

\frac{4}{y} - 5 = \frac{18}{2 y}

\frac{4 x + 1}{x - 1} = \frac{3}{2}

What is the answer to x+1/x =7 ?
The answer to x+1/x =7 is x=(7+3sqrt(5))/2 ,x=(7-3sqrt(5))/2
Solve for x: x+1/x =7
The solution is x=(7+3sqrt(5))/2 ,x=(7-3sqrt(5))/2