If A = x - 1/\x then the value of A - 1/\A is

Correct Answer is : x4+1−3x2x(x2−1)

\frac{\x^4 + 1 -\x^2}{\x(\x^2 - 1)}

\frac{\x^4 + 1 -3\x^2}{\x(\x^2 - 1)}

RRB Assistant Loco Pilot and Technician Model Paper 8 with solutions

Question : 2 of 75

Marks: +1, -0

If A = x -

1/\x

then the value of A -

1/\A

Solution:

{ A } = x - { 1 } /{ x }

{ A } - { 1 } /{ { A } } = ( x - { 1 }/ { x } ) - { 1 }/ { ( x - { 1 }/ { x } ) }

{ ( x - { 1 }/ { x } ) ^ { 2 } - 1 }/ { x - { 1 } /{ x } }

{ ( x ^ { 2 } - 2 + { 1 }/ { x ^ { 2 } } ) - 1 } /{ x - { 1 }/ { x } }

{ x ^ { 2 } + { 1 }/ { x ^ { 2 } } - 3 }/ { { x ^ { 2 } - 1 }/ { x } }

{ { x ^ { 4 } + 1 - 3 x ^ {2 } } /{ x ^ { 2 } } }/{ { x ^ { 2 } -1 }/ { x } }

{ x ^ { 4 } + 1 - 3 x ^ { 2 } }/ { x ^ { 2 } } ⋅ { x } /{ x ^ { 2 } - 1 }

{ x ^ { 4 } - 3 x ^ { 2 } + 1 } /{ x ( x ^ { 2 } - 1 ) }

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