Multiple choice

The equation ax2 + bx + c = 0 has equal roots. Based on this information, which of the following is correct?

  1. b2 – 4ac = 0

  2. b2 – 4ac > 0

  3. b2 – 4ac < 0

  4. b2 – 4ac ≠ 0

  5. None of these
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A Correct answer
Explanation

For a quadratic equation ax^2 + bx + c = 0 to have equal roots, the discriminant (b^2 - 4ac) must be equal to zero.

AI explanation

For a quadratic equation ax^2 + bx + c = 0, the nature of the roots is determined by the discriminant, given by the formula D = b^2 - 4ac. When a quadratic equation has equal roots, the discriminant must be exactly zero. Therefore, the correct relation is b^2 - 4ac = 0.

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