MCQ Subject: Algebra

For the quadratic equation x² + 5x + 6 = 0, what is the nature of its roots?

For a quadratic equation ax² + bx + c = 0 (a ≠ 0) to have exactly two distinct real roots, which condition must be satisfied?

For the quadratic equation x² + 3x + 2 = 0, what can be said about its roots?

For the quadratic equation x² + 5x + 6 = 0, what can be said about its roots?

For a quadratic equation ax² + bx + c = 0, which of the following conditions ensures the equation has real and distinct roots?

A quadratic equation ax² + bx + c = 0 has real roots if and only if which of the following is true?

What does a positive discriminant (Δ > 0) indicate about the roots of a quadratic equation ax² + bx + c = 0?

If the sum of the roots of a quadratic equation is 6 and the product of the roots is 9, which equation represents this relationship?

If a quadratic equation with real coefficients has a root 3 + 2i, what must be true about its other root?

In a quadratic equation ax² + bx + c = 0 with roots α and β, which statement is correct?