Multiple choice

Which of the following options is correct if the quadratic equation ax2 + bx + c = 0 has equal roots?

  1. b2 - 4ac < 0

  2. b2 - 2a2 > 0

  3. b2 - 4ac = 0

  4. b2 - 2ab > 0
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

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

AI explanation

The nature of the roots for a quadratic equation ax^2 + bx + c = 0 is determined by its discriminant, which is calculated as b^2 - 4ac. When a quadratic equation has equal roots, the discriminant must be exactly zero. Therefore, the correct condition is b^2 - 4ac = 0.

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