What is the answer to x+1/x =45 ?

The answer to x+1/x =45 is x=(45+sqrt(2021))/2 ,x=(45-sqrt(2021))/2

Solve for x: x+1/x =45

The solution is x=(45+sqrt(2021))/2 ,x=(45-sqrt(2021))/2

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x + \frac{1}{x} = 45

x = \frac{45 + 2021}{2}, x = \frac{45 - 2021}{2}

Decimal Notation

x = 44.97776 \dots, x = 0.02223 \dots

Solution steps

x + \frac{1}{x} = 45

Multiply both sides by

x

x^{2} + 1 = 45 x

Solve

x^{2} + 1 = 45 x : x = \frac{45 + 2021}{2}, x = \frac{45 - 2021}{2}

x = \frac{45 + 2021}{2}, x = \frac{45 - 2021}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{45 + 2021}{2}, x = \frac{45 - 2021}{2}

N, T + \frac{a}{N} = F

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

\frac{3}{3 b + 4} = \frac{2}{b - 4}

I, R = \frac{E}{I}

x^{- 2} + x^{- 1} - 30 = 0

What is the answer to x+1/x =45 ?
The answer to x+1/x =45 is x=(45+sqrt(2021))/2 ,x=(45-sqrt(2021))/2
Solve for x: x+1/x =45
The solution is x=(45+sqrt(2021))/2 ,x=(45-sqrt(2021))/2