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If x + 1/x = 2, then 2x 2 + 2/3x 2 + 5x + 3 =?

Correct Answer: 4/11

Explanation:

Given expression = 2x2 + 2/3x2 + 3 + 5x
On dividing numerator and denominator by x, we get
= 2(x + 1/x)/3(x + 1/x) + 5 = 2 x 2/3 x 2 + 5 = 4/11
[given x + 1/x = 2]


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