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sooyong94
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Homework Statement
2. Homework Equations
Vieta's formula, quadratic discriminant
3. The Attempt at a Solution
A proof is used to demonstrate that a statement or hypothesis is true. It is a way to provide evidence and support for a claim.
A proof is considered sufficient when it logically and clearly explains each step of the argument and leads to the desired conclusion. It should also be able to withstand scrutiny and counterarguments.
A proof is valid if it follows the rules of logic and uses accepted mathematical or scientific principles. It must also use evidence and reasoning to support its claims.
No, a proof can never be 100% certain. It can only provide strong evidence and support for a claim, but there is always a possibility of error or new information that may disprove it.
Practice and feedback are key to improving proof-writing skills. It is important to carefully analyze and understand the material, use clear and concise language, and check for any logical errors or missing steps in your proof.