Final answer:
If the discriminant of a quadratic equation is positive, it has two real solutions.
Step-by-step explanation:
If the discriminant of ax² + bx + c = 0 is positive, the quadratic equation has two real solutions.
The discriminant, denoted by Δ (Delta), is given by the formula Δ = b² - 4ac. It represents the nature of the solutions of a quadratic equation. If Δ > 0, it means that the equation has two distinct real solutions. These solutions can be found using the quadratic formula: x = (-b ± √Δ) / (2a).
For example, if we have the equation 2x² - 5x + 2 = 0, the discriminant is Δ = (-5)² - 4(2)(2) = 25 - 16 = 9. Since Δ > 0, we know that the equation has two real solutions.