Which of the following is incorrect. A quadratic equation ax² + bx + c = 0 has:

Given:

A quadratic equation ax2 + bx + c = 0

Formula Used:

Discriminant = b2 - 4ac

Calculation:

We need to determine which of the given statements about the roots of the quadratic equation is incorrect.

1. Two distinct real roots, if b2 - 4ac > 0

2. Two equal roots (i.e., coincident roots), if b2 - 4ac = 0

3. No real roots, if b2 - 4ac < 0

4. None of these (This is not a factual statement about the quadratic equation roots)

Analyzing the given options:

Option 1: Two distinct real roots, if b2 - 4ac > 0 (Correct)

Option 2: Two equal roots (i.e., coincident roots), if b2 - 4ac = 0 (Correct)

Option 3: No real roots, if b2 - 4ac < 0 (Correct)

Option 4: None of these (Incorrect, as it does not provide any information about the roots)

The correct answer is option 4