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rock_mit182

  • one year ago

if m and n are whole odd numbers, is true that m^2 + n^2 is always: a) perfect square b) divisible by 4 c) even d) odd I need to show how do it, PLZ help b)

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  1. rock_mit182
    • one year ago
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    @imqwerty

  2. rock_mit182
    • one year ago
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    @Mehek14

  3. rock_mit182
    • one year ago
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    2n+ 1

  4. rock_mit182
    • one year ago
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    i guess where n is a whole number

  5. rock_mit182
    • one year ago
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    is not the same ?

  6. rock_mit182
    • one year ago
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    by i need to show this by algebra not basic math

  7. rock_mit182
    • one year ago
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    (2n+1) ^2 + (2m +1)^2 = 4n^2+ 4n + 1 + 4m^2 +4m +1

  8. rock_mit182
    • one year ago
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    4( n^2 + m^2+ m +n) +2

  9. rock_mit182
    • one year ago
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    is that enough to prove the answer ?

  10. rock_mit182
    • one year ago
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    i guess 4(m^2 + n^2 +m + n) always has to be even and even +2 remains the same ..

  11. rock_mit182
    • one year ago
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    right ?

  12. beginnersmind
    • one year ago
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    4( n^2 + m^2+ m +n) +2, yeah this is enough to prove evenness.

  13. beginnersmind
    • one year ago
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    I mean, it's a number divisible by 4 plus 2. I'm pretty convinced it's even, on a human level :)

  14. rock_mit182
    • one year ago
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    thanks dude!

  15. beginnersmind
    • one year ago
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    no problem

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