Multiple choice

Which of the following is correct, if the roots of quadratic equation are equal?

  1. $\displaystyle D>0$
  2. $\displaystyle D<0$
  3. $\displaystyle D=0$

  4. None
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For a quadratic equation ax^2 + bx + c = 0, the roots are equal if and only if the discriminant D = b^2 - 4ac is equal to 0.

AI explanation

The nature of the roots of a quadratic equation is determined by the discriminant, D = b^2 - 4ac. For a quadratic equation to have equal roots, the discriminant must be exactly zero. Therefore, the correct condition is D = 0.

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