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Question
International Baccalaureatte | Maths HL
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Determine all positive integer values...
Date Posted: 6 years ago
Views: 429
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done
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clear
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The only n value which satisfies is 3. No other values. The proof is by considering odd and even numbers; and there is no perfect square in between two neighboring perfect squares. Cheers.
Date Posted:
6 years ago
You're missing an answer
Yah, missed the 36 being a perfect square. Thanks Jiayang. Yours is neater!
3 & 12 are the two values. Sorry!
Explanation for why other integers won't work comes from the factorisation of 49 into product of 2 integers. There're only 2 possibilities.
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