Are Real Coefficient Polynomials Always Rooted in Complex Conjugate Pairs?

Thread starter bassem_665
Start date Apr 20, 2012
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Mathematical Proof Relation

In summary, a mathematical relation proof is a formal method of demonstrating the relationship between two or more mathematical entities. It differs from other mathematical proofs by specifically focusing on proving the relationship between entities. The steps involved in a mathematical relation proof include identifying the given entities, defining the relationship, using logic and mathematical operations, and providing a conclusion. These proofs are important as they help us understand connections between mathematical concepts and can be applied in various fields.

Apr 20, 2012

bassem_665

Homework Statement

show that the roots of a polynomial with real coefficients are real of form complex conjugate pairs .The inverse is not true ,in general.

Homework Equations

The Attempt at a Solution

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Apr 20, 2012

genericusrnme

"3. The Attempt at a Solution "

You've got to at least attempt it first I'm afraid :3

1. What is a mathematical relation proof?

A mathematical relation proof is a formal method of demonstrating the relationship between two or more mathematical entities or concepts. It involves using logic and mathematical principles to show how one entity is connected or dependent on another.

2. How is a mathematical relation proof different from other mathematical proofs?

A mathematical relation proof specifically focuses on proving the relationship between mathematical entities, whereas other mathematical proofs may aim to prove the validity of a mathematical statement or theorem.

3. What are the steps involved in a mathematical relation proof?

The steps involved in a mathematical relation proof typically include identifying the given entities, defining the relationship between them, using logical reasoning and mathematical operations to prove the relationship, and providing a conclusion or summary of the proof.

4. Why are mathematical relation proofs important?

Mathematical relation proofs are important because they help us understand the connections between different mathematical concepts and how they relate to each other. They also serve as the foundation for many mathematical theories and applications.

5. Can mathematical relation proofs be used in other fields besides mathematics?

Yes, mathematical relation proofs can be applied in various fields such as physics, engineering, and computer science. They can help in understanding and analyzing complex systems and relationships between different variables.