What is the answer to x+1/x =9 ?

The answer to x+1/x =9 is x=(9+sqrt(77))/2 ,x=(9-sqrt(77))/2

Solve for x: x+1/x =9

The solution is x=(9+sqrt(77))/2 ,x=(9-sqrt(77))/2

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x + \frac{1}{x} = 9

x = \frac{9 + 77}{2}, x = \frac{9 - 77}{2}

Decimal Notation

x = 8.88748 \dots, x = 0.11251 \dots

Solution steps

x + \frac{1}{x} = 9

Multiply both sides by

x

x^{2} + 1 = 9 x

Solve

x^{2} + 1 = 9 x : x = \frac{9 + 77}{2}, x = \frac{9 - 77}{2}

x = \frac{9 + 77}{2}, x = \frac{9 - 77}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{9 + 77}{2}, x = \frac{9 - 77}{2}

- \frac{2}{x} = 8

\frac{3}{2 x} = 3

\frac{5}{3} = \frac{8}{z}

v, D = \frac{m}{v}

\frac{2 x + 4}{12 x} = \frac{1}{4}

What is the answer to x+1/x =9 ?
The answer to x+1/x =9 is x=(9+sqrt(77))/2 ,x=(9-sqrt(77))/2
Solve for x: x+1/x =9
The solution is x=(9+sqrt(77))/2 ,x=(9-sqrt(77))/2