Yahoo Answers is shutting down on 4 May 2021 (Eastern Time) and the Yahoo Answers website is now in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.

Can 169,173 be represented as a sum of 2 squares?

2 Answers

Relevance
  • Alan
    Lv 7
    4 weeks ago

    169173

    factor are 1,3,3, 18797

     since 3 is the only double factor

    we take :

    = 9*( 18797)

    since 138^2 = 19044

    now try all squares

    from 0 to 137

    and determine if the 2nd number is also a square

    thats

    18797 = (x^2 +y^2)

    y^2 = 18797 - x^2

    now , try x from 0 to 137

    looking for value of y^2 where you

    have an integer square root

    x = 29 and

    y = 134

    now, you know

    169173 = 9*( 29^2 + 134^2)

    169173 = 3^2*29^2 +3^2(134)^2

    169173 = 87^2 + 402^2

    so 87 and 402 

  • rotchm
    Lv 7
    4 weeks ago

    Yes it can...

    Now, can you find them?

    There are many ways/tricks, and simplifications of  "?" tactic/answer.

    As in, the search for √(n/2) max trick. 

    And then mod 2 or 4 reduces further the search. 

    You can reduce it to about 40 numbers to try!

Still have questions? Get answers by asking now.