Feb 28, 2024 · This behavior is characteristic of quadratic equations where the discriminant is positive, indicating: The graph of the equation, which is a parabola, opens upwards (since >) …

Nov 23, 2024 · This means that the quadratic equation has exactly one real number solution. When the discriminant is exactly zero, it indicates that the quadratic equation has a single, …

Oct 26, 2020 · To determine the nature of the roots of a quadratic equation based on its discriminant, we can use the discriminant formula, which is given by . Here, represents the …

Dec 4, 2020 · If the discriminant is positive (), the quadratic equation has two distinct real roots. If the discriminant is zero (), the equation has one real root, also known as a repeated or double …

Nov 7, 2023 · Here, 1, leading to a discriminant of 16. This shows one real solution, demonstrating how the discriminant indicates the number of solutions for different quadratic …

To find the discriminant of the quadratic equation , we first rewrite it in the standard form of a quadratic equation, which is . Here, we have: Thus, the discriminant of the given quadratic …

Oct 24, 2024 · Sure! Let's solve the quadratic equation step-by-step. We have the quadratic equation: Part A: Find the discriminant The discriminant () of a quadratic equation is calculated …

Jun 20, 2016 · To find the discriminant of the quadratic equation given by , we first need to rewrite the equation in standard form, which is . From the equation, we can identify the coefficients: …

Mar 8, 2017 · By computing each discriminant, we will see that has a discriminant equal to 12 is the second option. What is the discriminant of a quadratic equation? For a quadratic equation: …

Jul 20, 2017 · The discriminant of a quadratic equation is calculated using the formula b 4 c. When the discriminant is negative, it indicates that the quadratic has two complex solutions …