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JEE Main2013MathematicsBasics of MathematicsActual

The least integral value of x such that x-5 x^2+5 x-14 >0 , satisfies :

Options

  1. A^2+3 -4=0
  2. B^2-5 +4=0
  3. C^2-7 +6=0
  4. D^2+5 -6=0

Correct answer

A. ^2+3 -4=0

Step-by-step solution

aligned & x-5 x^2+5 x-14 >0 x^2+5 x-14 < x-5 & x^2+4 x-9 < 0 & =-5,-4,-3,-2,-1,0,1 aligned =-5 does not satisfy any of the options =-4 satisfy the option (a) ^2+3 -4=0

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