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DeaneNicole

The sum of the squares of two consecutive positive even integers is 340. Find the integers.

  • one year ago
  • one year ago

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  1. freckles
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    what number comes right after n?

    • one year ago
  2. DeaneNicole
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    That's the full question. That's all this test gave me. It says "The sum of the squares of two consecutive poistive even integers is 340. Find the Integers"

    • one year ago
  3. DeaneNicole
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    Positive**

    • one year ago
  4. freckles
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    yes i know but what comes after n?

    • one year ago
  5. DeaneNicole
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    I don't know!

    • one year ago
  6. freckles
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    like for instance if i asked you: what comes after 1, you would say 1+1

    • one year ago
  7. freckles
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    if i said what comes after 2, you would say 2+1

    • one year ago
  8. freckles
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    if i said what comes after 3, you would say 3+1

    • one year ago
  9. DeaneNicole
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    So would it be n+n? or n+1??

    • one year ago
  10. freckles
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    I'm adding 1 to each of those not n

    • one year ago
  11. freckles
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    so n+1

    • one year ago
  12. freckles
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    n,n+1 these are consecutive positive numbers

    • one year ago
  13. freckles
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    of course we are assuming n is positive

    • one year ago
  14. freckles
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    now it says the sum of the squares of these numbers

    • one year ago
  15. DeaneNicole
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    those aren't numbers.. Those are letter o_O

    • one year ago
  16. freckles
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    so that means we will adding these numbers squares

    • one year ago
  17. DeaneNicole
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    Do you know the answer to this or what??

    • one year ago
  18. freckles
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    \[n^2+(n+1)^2=\] It says the sum of these squares =340 so what should come after that = sign?

    • one year ago
  19. freckles
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    I'm not gonna give you the answer

    • one year ago
  20. freckles
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    I will guide you

    • one year ago
  21. freckles
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    You need to solve this for n \[n^2+(n+1)^2=340 \]

    • one year ago
  22. freckles
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    Do you know how to solve this?

    • one year ago
  23. DeaneNicole
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    I got \[\chi \approx 12.5288 , -13.5288\]

    • one year ago
  24. DeaneNicole
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    Which is in no way the answer -__-

    • one year ago
  25. eliassaab
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    Your problem does not have integer solution.

    • one year ago
  26. freckles
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    @eliassaab is right

    • one year ago
  27. DeaneNicole
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    What do you mean?

    • one year ago
  28. freckles
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    that positive number 12.5288 is not an integer

    • one year ago
  29. DeaneNicole
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    Well duhh. That's why i need help??

    • one year ago
  30. freckles
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    wait your question said even?

    • one year ago
  31. DeaneNicole
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    I got the answer. its' 12 and 14. Thanks for the "help"

    • one year ago
  32. freckles
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    So if 2 is the first even integer then what is the next even integer? 2,2+2 right? if 4 is the first even integer then what is the next even integer? 4,4+2 ----- we add 2 ----- if n is the first even integer, then what is the next even integer?

    • one year ago
  33. freckles
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    why do you have to say it like that @DeaneNicole ? I was just trying to help

    • one year ago
  34. DeaneNicole
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    No no no no no no no no no i didn't mean it like that!! Sorry /:

    • one year ago
  35. freckles
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    Ok ok. Its all cool.

    • one year ago
  36. DeaneNicole
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    Alright.

    • one year ago
  37. freckles
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    I'm sorry I miss the word even

    • one year ago
  38. freckles
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    all those tiny words have meaning lol

    • one year ago
  39. eliassaab
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    You have to solve (2n)^2 + (2n+2)^2 =340 n =6 so 12 and 14

    • one year ago
  40. DeaneNicole
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    @eliassaab we already got it.

    • one year ago
  41. freckles
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    and @eliassaab this would have worked too \[n^2+(n+2)^2=340 \]

    • one year ago
  42. eliassaab
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    \[ 12^2+14^2=144+196=340 \]

    • one year ago
  43. eliassaab
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    Sorry, I did not see your post above @DeaneNicole

    • one year ago
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