Question

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If x is a positive real number such that , then the value of  is

  1. 34√5
  2. 40√5
  3. 30√5
  4. 36√5

Answer (Detailed Solution Below)

Option 1 : 34√5

Detailed Solution

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It is given that  and we need to find the value of  

now,

adding 2 to both the sides, we get,

⇒ 

⇒ 

⇒ 

⇒ 

adding 2 to both the sides we get,

⇒ 

⇒  

⇒ 

⇒ 

adding 2 to both the sides we get,

⇒ 

⇒ 

⇒ 

⇒ 

Now, we will find the value of  using the given formula,

⇒ 

⇒ 

⇒ 

using the same formula we can find the value of ,

⇒ 

⇒ 

⇒ 

∴ 

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