I am a 10th standard student living in Nepal. I recently found a strange problem of Algebra. A teacher of mine solved the above problem in the some way (some steps jumped). The problem, as well as the solution is included in the PDF file attached herewith.
Now, I want to know whether or not the question and/or the solution are correct. Please give your opinion about the problem and the solution.
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Spandan Shrestha
A.V.M. High School
Kathmandu, Nepal
Thanks everyone for the reply.
When I told the teacher who solved this question about this, he admitted the flaw, and solved it in another way, which seems absolutely correct to me. Again, the PDF file has been attached herewith.
Please see the new solution and give your opinion about it.
This part
breaks down if is rational. (I suppose x, y, a and b are all assumed to be rational numbers.) Just because there’s a square-root sign doesn’t mean that must be irrational. You must be sure is irrational in order for the proof to work.
By equating rational and irrational parts, we get,
Please prove that to me (or provide me with the link to the proof). I'm really confused about this one, whether I should take the absolute value, or both the positive and negative signs.when what has been shown is that:
|U-V| = |B-A|
@JaneBennet:
Can you too give me some explanation?