Multiple choice

For a quadratic equation in the standard form $ax^2+bx+c=0$, the nature of roots is dependent on the value of ?

  1. $b^2+4ac$
  2. $b^2 \pm 4ac$
  3. $\sqrt{b^2}-4ac$
  4. $b^2-4ac$
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D Correct answer
Explanation

The nature of the roots of a quadratic equation ax^2 + bx + c = 0 is determined by the discriminant, which is defined as b^2 - 4ac.

AI explanation

The nature of the roots of the standard quadratic equation ax^2 + bx + c = 0 is determined by the discriminant, denoted as D. The formula for the discriminant is D = b^2 - 4ac.

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