Question

Every quadratic equation has exactly ______ roots.

Answer 1

Every quadratic equation has exactly two roots.

Explanation:

A quadratic is a degree–2 polynomial, so (over the complex numbers) it has two roots counting multiplicity, a pair of solutions to ax² + bx + c = 0. Over the real numbers the discriminant D = b² – 4ac decides the real-root cases: D > 0 → two distinct real roots, D = 0 → a repeated (double) real root, D < 0 → no real roots (two complex conjugates).