MCQ Subject: Algebra

If the roots of the quadratic equation 3x² – 4x + 5 = 0 are α and β, what is the sum of the roots?

For the quadratic equation $x^2 – 3x + 2 = 0$, what can be inferred about its roots using the discriminant ($D = b^2 – 4ac$)?

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

For a quadratic equation of the form ax² + bx + c = 0, where a, b, and c are constants, what is the sum of the roots in terms of the coefficients?

What determines the number of real roots in a quadratic equation ax² + bx + c = 0?

For a quadratic equation ax² + bx + c = 0 to have real and equal roots, which condition must be satisfied?

For the quadratic equation ax² + bx + c = 0, what is the condition for the roots to be real and distinct?

For the quadratic equation x² + 4x + 5 = 0, what is the nature of its roots?

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?