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  1. 3 + x + √3 − x
    = 2 then x is equal to
    3 + x − √3 − x
    1. 5
      12
    2. 12
      5
    3. 5
      7
    4. 7
      5

Correct Option: B

3 + x + √3 − x
=
2
3 + x − √3 − x1

By componendo and dividendo,
⇒ 
2√3 + x
=
2 + 1
= 3
2√3 − x2 − 1

Squaring on both sides, we get
3 + x
= 9
3 − x

⇒  3 + x = 27 – 9x
⇒  9x + x = 27 – 3 = 24
⇒  x =
24
=
12
105



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