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

The answer to x^{1/2}+x^{-1}=110 is x\approx 12099.98181…

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

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

x \approx 12099.98181 \dots

Solution steps

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

Expand

x^{\frac{1}{2}} + x^{- 1} : x^{\frac{1}{2}} + \frac{1}{x}

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

Remove square roots

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

Solve

x = 12100 - \frac{220}{x} + \frac{1}{x ^{2}} : x \approx 0.00908 \dots, x \approx 0.00909 \dots, x \approx 12099.98181 \dots

x \approx 0.00908 \dots, x \approx 0.00909 \dots, x \approx 12099.98181 \dots

Verify Solutions:

x \approx 0.00908 \dots

False

, x \approx 0.00909 \dots

False

, x \approx 12099.98181 \dots

True

The solution is

x \approx 12099.98181 \dots

2 x - 9 = x

5 + 4 x + 2 x + 3 = 2

3 x + 3 + 3 x - 1 = 2

What is the answer to x^{1/2}+x^{-1}=110 ?
The answer to x^{1/2}+x^{-1}=110 is x\approx 12099.98181…
Solve for x: x^{1/2}+x^{-1}=110
The solution is x\approx 12099.98181…