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Manipal MET2012MathematicsSequences and Series

If [0, 2 ) , then x^2+x + ^2 x^2+x is always greater than or equal to

Options

  1. A2
  2. B2
  3. C1
  4. D^2

Correct answer

A. 2

Step-by-step solution

Here, [0, 2 ) is (+ve) As, we know, if a, b 0 a+b 2 a b i.e., AM GM aligned & x^2+x + ^2 x^2+x 2 x^2+x ^2 x^2+x & ( using AM GM ) aligned x^2+x + ^2 x^2+x 2

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