If the discriminant of a quadratic equation is 2 , then the equation has Select an answer If the discriminant of a quadratic equation is -2 , then the equation has Select an answer If the discriminant of a quadratic equation is 4 , then the equation has Select an answer If the discriminant of a quadratic equation is 0 , then the equation has Select an answer Question Help: Video \( D \) post to forum Submit Question

1. For a quadratic equation \( ax^2 + bx + c = 0 \), the discriminant is given by \[ D = b^2 - 4ac. \] If \( D > 0 \), the equation has two distinct real roots. Since \( 2 > 0 \), the equation with \( D = 2 \) has **two distinct real roots.** 2. If \( D < 0 \), the equation has two complex roots (which are non-real). Since \( -2 < 0 \), the equation with \( D = -2 \) has **two complex roots.** 3. Similarly, since \( 4 > 0 \), the equation with \( D = 4 \) has **two distinct real roots.** 4. If \( D = 0 \), the equation has a repeated (or double) real root. Therefore, the equation with \( D = 0 \) has **one real (repeated) root.**