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  1. The value of x in the equation
    x +
    1
    2 -
    3
    x -
    1
    = 4 is :
    x2x
    1. -2
    2. 1
      2
    3. -1
    4. 0
Correct Option: C

We can say that ,

Putting in above equation , x -
1
= y
x
x +
1
2= x2 +
1
+ 2 =x +
1
2+ 4 = y2 + 4
xx2x
So, given equation becomes
⇒ yy -
3
= 0 ⇒ y = 0 or y =
3
22

∴ x -
1
= 0 ⇒ x -
1
=
3
x
x
2

⇒ x2 - 1 = 0 or 2x2 - 3x - 2 = 0
⇒ x = ± 1 or ( 2x + 1 ) ( x - 2 ) = 0
⇒ x = ± 1 or - 1/2 or x = 2.
Thus , option C is correct answer .



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