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      Question

      For what values of k does the equation x² – (k+1)x +

      k = 0 have two distinct real roots, both greater than 1?
      A 2 Correct Answer Incorrect Answer
      B 5 Correct Answer Incorrect Answer
      D Can't be determined Correct Answer Incorrect Answer

      Solution

      ATQ,

      Discriminant > 0 gives k ≠ 1 But f(1) = 0, so one root = 1 → cannot have both roots >1 No real k satisfies the condition.

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