what do we call the quantity b2-4ac when found under the radical sign?

The quantity \( b^2 - 4ac \), found under the radical sign in the quadratic formula, is called the **discriminant**. The discriminant helps determine the nature of the roots of the quadratic equation \( ax^2 + bx + c = 0 \).

- If \( b^2 - 4ac > 0 \), the equation has two distinct real roots.
- If \( b^2 - 4ac = 0 \), the equation has one real root (a repeated root).
- If \( b^2 - 4ac < 0 \), the equation has two complex roots.

Would you like more details or have any further questions?

Here are 5 related questions for further exploration:
1. What is the quadratic formula?
2. How do we derive the quadratic formula?
3. Can the discriminant be used to factor a quadratic equation?
4. How does the discriminant affect the graph of a quadratic function?
5. What are complex roots, and how are they represented?

**Tip:** The discriminant can quickly tell you whether a quadratic equation can be factored using real numbers.

what do we call the quantity b^2-4ac when found under the radical sign?

Learn about the discriminant (b² - 4ac) in the quadratic formula and how it helps determine the nature of the roots of a quadratic equation. Explore real, repeated, and complex roots. Suitable for Grades 9-10 students.

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