Question

If the coefficient of x² and the constant term have the same sign and if the coefficient of x term is zero, then the quadratic equation has no real roots.

Options

• True

• False

Answer 1

This statement is True.

Explanation:

Because in this case discriminant is always negative.

For example, in ax²+ bx + c = 0, as b = 0

And a and c have same sign then ac > 0

⇒ Discriminant = b² – 4ac = – 4 a c < 0