Multiple choice

The discriminant of quadratic equation $3x^{2} - 4x - 1 = 0$ is _______.

  1. $0$
  2. $4$
  3. $12$
  4. $28$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

For a quadratic equation ax^2 + bx + c = 0, the discriminant is b^2 - 4ac. Here, a=3, b=-4, c=-1. Discriminant = (-4)^2 - 4(3)(-1) = 16 + 12 = 28.

AI explanation

The discriminant of a quadratic equation ax^2 + bx + c = 0 is calculated using the formula D = b^2 - 4ac. For the given equation 3x^2 - 4x - 1 = 0, the coefficients are a = 3, b = -4, and c = -1. Substituting these values gives D = (-4)^2 - 4(3)((-1)) = 16 + 12. The result is D = 28.

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