Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

RonrickDaano

  • 3 years ago

How many pairs of integers (x,y) are there such that 2x2−2xy+y2=225?

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

    is it 2x^2?

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

    yup, its 2x^2-2xy+y^2=225.

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

    \[ 2x^2 -2xy + y^2 = x^2 + (x-y)^2 = 225 = 15^2 \\ \] this is same as \( a^2 + b^2 = 15^2 \)

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

    you can use this formula to compare and find the integers http://mathworld.wolfram.com/images/equations/PythagoreanTriple/NumberedEquation5.gif from here http://mathworld.wolfram.com/PythagoreanTriple.html

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy