What is the answer to x+1/x =(6sqrt(5))/5 ?

The answer to x+1/x =(6sqrt(5))/5 is x=sqrt(5),x= 1/(sqrt(5))

Solve for x: x+1/x =(6sqrt(5))/5

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

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x + \frac{1}{x} = \frac{6 5}{5}

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

Decimal Notation

x = 2.23606 \dots, x = 0.4472135955

Solution steps

x + \frac{1}{x} = \frac{6 5}{5}

Multiply by LCM

5 x^{2} + 5 = 65 x

Solve

5 x^{2} + 5 = 65 x : x = 5, x = \frac{1}{5}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

5 x - \frac{1}{x} = 4

4 x - \frac{36}{x} = 0

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

\frac{2}{x} = \frac{8}{32}

- \frac{8}{y + 8} = - 5

What is the answer to x+1/x =(6sqrt(5))/5 ?
The answer to x+1/x =(6sqrt(5))/5 is x=sqrt(5),x= 1/(sqrt(5))
Solve for x: x+1/x =(6sqrt(5))/5
The solution is x=sqrt(5),x= 1/(sqrt(5))