Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

King

  • 3 years ago

Help................find all pairs of integers such that x^2-y^2=104 Help................find all pairs of integers such that x^2-y^2=104 @Mathematics

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

    \[(x+y)(x-y) = 104\]

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

    yeah then...

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

    factorize 104

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

    yeah i get 52,26 but then i have to find all pairs of integers so is there any other short mthod?

  5. King
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    x=52,y=26

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

    104=2*2*2*13. then you have to solve systems of equations: x-y=2 and x+y=2*2*13; x-y=2*2 and x+y=2*13... then you will find all possible pairs

  7. 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.