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The discriminant of the quadratic 2 x + 1 2 + 3 x + 2 2 + 4 x + 3 2 + …   n terms = 0 ,   ∀ n > 3 ,   x ∈ R is

Options

  1. Apositive
  2. Bzero
  3. Cnegative
  4. Ddepends on n

Correct answer

C. negative

Step-by-step solution

2 x + 1 2 + 3 x + 2 2 + 4 x + 3 2 + … n terms = 0 , x ∈ R This is possible only when individually every perfect square is zero, but this can’t happen here. So, the above equation doesn’t have any real roots. ⇒ D < 0

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