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  1. If x +
    1
    = 66 , then the value of
    x2 + x + 2
    is
    xx2( 1 - x )

    1. 1
    2. –1
    3. 2
    4. –2
Correct Option: A

⇒ x +
2
= 1
x

Expression =
x2 + x + 2
=
[ x + 1 + ( 2 / x ) ]
x2( 1 - x )x( 1 - x )

(Dividing numerator and denominator by x)
Expression = x +
2
=
[ x + 1 + ( 2 / x ) ]
x2( 1 - x )x( 1 - x )

Expression =   x +
2
+ 1
x
x( 1 - x )

Expression =
1 + 1
2 ×
2
x

Expression =
2
= 1
2



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