What are the properties of the latus rectum?
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what is b 2 4ac
- How does the sign of -4ac affect the discriminant?
- When are the roots of a quadratic equation repeated?
- Does the sign of 'c' provide any information about the roots?
- A zero discriminant often indicates a singular point, which is a lack of smoothness. Can you explain this connection?
- Are there any applications of the discriminant in financial modeling or economics?
- We mentioned BCH codes earlier; are there other types of codes where discriminants are relevant?
- How is the discriminant used in optimization problems involving quadratic functions?
- Can the discriminant be used in the study of algebraic surfaces and their classification?
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- Can you think of any connections between the discriminant and topics like combinatorics or graph theory?
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