Question

If the coefficient of x² and the constant term of a quadratic equation have opposite signs, then the quadratic equation has real roots.

Options

• True

• False

Answer 1

This statement is True.

Explanation:

Because in this case discriminant is always positive.

For example, in ax²+ bx + c = 0, as a and c have opposite sign, ac < 0

⇒ Discriminant = b² – 4ac > 0.