The quadratic equation ax^2 + bx + c = 0 has two distinct real roots if:

2023

The quadratic equation ax^2 + bx + c = 0 has two distinct real roots if:

Answer: B. b^2 - 4ac > 0For a quadratic equation ax^2 + bx + c = 0, two distinct real roots exist exactly when the discriminant b^2 - 4ac is greater than 0.

  1. A.

    b^2 - 4ac < 0

  2. B.

    b^2 - 4ac > 0

  3. C.

    b^2 - 4ac = 0

  4. D.

    More than one of the above

  5. E.

    None of the above

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Correct answer: B

For a quadratic equation ax^2 + bx + c = 0, two distinct real roots exist exactly when the discriminant b^2 - 4ac is greater than 0.

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