What is the answer to 110-x^{-1}=x^{-1/2} ?

The answer to 110-x^{-1}=x^{-1/2} is x= 1/100

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110-x^{-1}=x^{-1/2}

110 - x^{- 1} = x^{- \frac{1}{2}}

x = \frac{1}{100}

Decimal Notation

x = 0.01

Solution steps

110 - x^{- 1} = x^{- \frac{1}{2}}

Expand

110 - x^{- 1} : 110 - \frac{1}{x}

110 - \frac{1}{x} = x^{- \frac{1}{2}}

Take both sides of the equation to the power of

- 2 : \frac{x ^{2}}{12100 x ^{2} - 220 x + 1} = x

\frac{x ^{2}}{12100 x ^{2} - 220 x + 1} = x

Solve

\frac{x ^{2}}{12100 x ^{2} - 220 x + 1} = x : x = 0, x = \frac{1}{121}, x = \frac{1}{100}

x = 0, x = \frac{1}{121}, x = \frac{1}{100}

Verify Solutions:

x = 0

False

, x = \frac{1}{121}

False

, x = \frac{1}{100}

True

The solution is

x = \frac{1}{100}

x + 6 = 6 - 2 5 - x

9 b^{3} - 1 = 81

x^{2} - 9 = x - 1

x + 7 - 5 = x

What is the answer to 110-x^{-1}=x^{-1/2} ?
The answer to 110-x^{-1}=x^{-1/2} is x= 1/100
Solve for x: 110-x^{-1}=x^{-1/2}
The solution is x= 1/100