Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

DeaneNicole

  • 2 years ago

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

  • This Question is Closed
  1. freckles
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what number comes right after n?

  2. DeaneNicole
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    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"

  3. DeaneNicole
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Positive**

  4. freckles
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes i know but what comes after n?

  5. DeaneNicole
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I don't know!

  6. freckles
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    like for instance if i asked you: what comes after 1, you would say 1+1

  7. freckles
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    if i said what comes after 2, you would say 2+1

  8. freckles
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    if i said what comes after 3, you would say 3+1

  9. DeaneNicole
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    So would it be n+n? or n+1??

  10. freckles
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I'm adding 1 to each of those not n

  11. freckles
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so n+1

  12. freckles
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    n,n+1 these are consecutive positive numbers

  13. freckles
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    of course we are assuming n is positive

  14. freckles
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    now it says the sum of the squares of these numbers

  15. DeaneNicole
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    those aren't numbers.. Those are letter o_O

  16. freckles
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so that means we will adding these numbers squares

  17. DeaneNicole
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Do you know the answer to this or what??

  18. freckles
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[n^2+(n+1)^2=\] It says the sum of these squares =340 so what should come after that = sign?

  19. freckles
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I'm not gonna give you the answer

  20. freckles
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I will guide you

  21. freckles
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You need to solve this for n \[n^2+(n+1)^2=340 \]

  22. freckles
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Do you know how to solve this?

  23. DeaneNicole
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I got \[\chi \approx 12.5288 , -13.5288\]

  24. DeaneNicole
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Which is in no way the answer -__-

  25. eliassaab
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Your problem does not have integer solution.

  26. freckles
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @eliassaab is right

  27. DeaneNicole
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    What do you mean?

  28. freckles
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    that positive number 12.5288 is not an integer

  29. DeaneNicole
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Well duhh. That's why i need help??

  30. freckles
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    wait your question said even?

  31. DeaneNicole
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I got the answer. its' 12 and 14. Thanks for the "help"

  32. freckles
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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?

  33. freckles
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    why do you have to say it like that @DeaneNicole ? I was just trying to help

  34. DeaneNicole
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    No no no no no no no no no i didn't mean it like that!! Sorry /:

  35. freckles
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok ok. Its all cool.

  36. DeaneNicole
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Alright.

  37. freckles
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I'm sorry I miss the word even

  38. freckles
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    all those tiny words have meaning lol

  39. eliassaab
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You have to solve (2n)^2 + (2n+2)^2 =340 n =6 so 12 and 14

  40. DeaneNicole
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @eliassaab we already got it.

  41. freckles
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    and @eliassaab this would have worked too \[n^2+(n+2)^2=340 \]

  42. eliassaab
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[ 12^2+14^2=144+196=340 \]

  43. eliassaab
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Sorry, I did not see your post above @DeaneNicole

  44. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.