If \(x=\frac{3-2}{3+2}\), then the value of \(x+\frac{1}{x}\) is

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ITBP Constable (Animal Transport) 16 Feb 2020 Official Paper
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  1. 26/5
  2. 22/3
  3. 26/3
  4. 22/5

Answer (Detailed Solution Below)

Option 1 : 26/5
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Detailed Solution

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Given:

If x = (3 - 2)/(3 + 2)

Calculation:

x = (3 - 2)/(3 + 2)

⇒ x = 1/5

So,

x + 1/x

⇒ 1/5 + 5

⇒ (1 + 25)/5 = 26/5

Hence, x + 1/x = 26/5

∴ The correct answer is option 1.

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