Multiple choice

For which of the following value of k are roots of equation 3x2 – kx + 3 = 0 are real and distinct?

  1. k > 4

  2. k ≥6

  3. k ≤ -6

  4. k > 6
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D Correct answer
AI explanation

For the quadratic equation 3x2 - kx + 3 = 0 to have real and distinct roots, the discriminant must be strictly greater than zero, meaning (-k)2 - 4(3)(3) > 0. This simplifies to k2 - 36 > 0, so k must be either greater than 6 or less than -6. Among the provided choices, the condition k > 6 correctly represents one part of this requirement.

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