



Why is the discriminant important in solving quadratic equations?
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what is b 2 4ac
- How does the discriminant determine the ring of integers of a quadratic field?
- Can the discriminant be used in cryptography, for example, in the construction of cryptographic primitives based on quadratic equations?
- Are there connections between discriminants and the theory of elliptic curves over finite fields (e.g., the discriminant of the elliptic curve)?
- How is curvature defined for a general curve?
- Can the discriminant help in determining if a number is transcendental?
- How is the discriminant related to the Jacobian determinant in multivariable calculus?
- What is an order in a number field?
- Can b² ever be negative in the real number system?
- What are some real-world applications where the value of 'c' in b² - 4ac is important?
- How is the discriminant related to the determinant of the matrix of the quadratic form?
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