(x+y)(x-y)=y(x-y)
x+y=y
This is satisfactory:dianzz said:know that if ax=ay x=y only and if only a is not zero ,but how to say this in "proof" language ?
dianzz said:(x+y)(x-y)=y(x-y)
x+y=y
To go from the first equation to the second, you divide both sides of the first equation by x - y. This is not allowed, because x - y = 0, by assumption ("Let x = y"). You cannot divide by zero. Period.(x+y)(x-y)=y(x-y)
x+y=y
A "proof" in science refers to a logical and evidence-based explanation or demonstration of a scientific concept or phenomenon. It involves using established scientific principles, methods, and data to support a hypothesis or theory.
Common mistakes or errors in scientific proofs include flawed experimental design, inaccurate data collection or analysis, and biased interpretations. Other factors such as human error, equipment malfunctions, and incomplete or insufficient evidence can also contribute to incorrect conclusions.
Identifying what's wrong with a proof is crucial in science because it allows for the correction of errors and the improvement of scientific knowledge and understanding. By recognizing and addressing mistakes, scientists can refine their methods and theories, leading to more accurate and reliable conclusions.
To avoid making mistakes in their proofs, scientists use rigorous and systematic methods of experimentation, data analysis, and peer review. They also follow established scientific protocols and techniques, carefully document their procedures and findings, and remain open to criticism and feedback from their peers.
If a scientist finds an error in their own proof, they should first carefully review their methods, data, and interpretations to identify the source of the mistake. They should then make corrections or adjustments as needed and conduct further experiments or analyses to confirm their findings. It is also important for scientists to be transparent and acknowledge any errors or discrepancies in their work when presenting it to the scientific community.