Question

If 'x' is a positive integer such that x + 1/x = 2,

x 1x 2 Or, x2 1 2x Or, x2 - 2x 1 0 Or, x - 12 0 So, x 1 x3 x2 2x 64x4 2x2 13 12 2 X 1 64 X 14 2 x 12 - 66 - 1

then find the value of (x3 + x2 − 2x – 6)/(4x4 + 2x2).

A -3

B 2

C 1

D -1

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Solution