Recent content by razefast

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    [Number Theory] Prove (x^2 - y^2) is not equal to 6.

    Hi lanedance and process91 Those explanations are quite clear. I learned new things today. Thx for helping out de newbie xD Man..Physics forums is great ^^
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    [Number Theory] Prove (x^2 - y^2) is not equal to 6.

    Hi lanedance, Actually, I have no idea how to prove x^2-(x-1)^2 is an monotonically increasing function :( I have never learned about monotonic function so I had to google it but still confused. lol Thanks for your reply lanedance :D With regards, razefast
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    [Number Theory] Prove (x^2 - y^2) is not equal to 6.

    Homework Statement Prove the following proposition: For any positive integers x and y, (x^2 - y^2) is not equal to 6.Homework EquationsThe Attempt at a Solution I'll try to prove using contradition. Assume x^2 - y^2 = 6. (x+y)(x-y) = 6 (x+y)=6 and (x-y)=1 (OR) (x+y)=1 and (x-y)=6 (OR)...