Question

if the discriminant of a quadratic equation is 4, which statement describes the roots?
○ there are two complex roots.
○ there are two real roots.
○ there is one real root.
○ there is one complex root.

Explanation:

For a quadratic equation, the discriminant $\Delta$ determines the nature of roots:

• If $\Delta > 0$, there are two distinct real roots.
• If $\Delta = 0$, there is one real repeated root.
• If $\Delta < 0$, there are two complex conjugate roots.

Here, $\Delta = 4 > 0$, so there are two real roots.

Answer:

There are two real roots.