Question

The roots of ax² + bx + c = 0, a ≠ 0 are real and unequal, if (b² – 4ac) is ______.

Options

• > 0

• = 0

• < 0

• none of these

Answer 1

The roots of ax² + bx + c = 0, a ≠ 0 are real and unequal, if (b² – 4ac) is > 0.

Explanation:

The term (b² – 4ac) is known as the discriminant of a quadratic equation. The nature of the roots depends entirely on this value:

b² – 4ac > 0: The roots are real and unequal.

b² – 4ac = 0: The roots are real and equal.

b² – 4ac < 0: The roots are complex or imaginary (not real).