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If the difference between the roots of the equation x^2+a x+1=0 is less than 5 , then the set of possible values of a is

Options

  1. A(-3,3)
  2. B(-3, )
  3. C(3, )
  4. D(- ,-3)

Correct answer

A. (-3,3)

Step-by-step solution

x^2+a x+1=0 + =-a =1| - |= ( + )^2-4 | - |= a^2-4 a^2-4 < 5 a^2-4 < 5a^2-9 < 0a (-3,3) .

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