can you express sum of two squares as sum of another two squares like
7 ^ (2) +145 ^ (2) = 25 ^ (2) +143 ^ (2)
2006-07-04 20:41:47 · 7 answers · asked by rajesh bhowmick 2 in Science & Mathematics ➔ Mathematics
like 9 ^ (2) + 401 ^ (2) = 41 ^ (2) + 399 ^ (2)
2006-07-04 21:29:16 · update #1
there are infinite such examples but they do not hold for all numbers
2006-07-04 21:20:28 · answer #1 · answered by Anonymous · 2⤊ 0⤋
unless that sum is equal to the first sum, you cannot do this, maybe the sum of 2 squares is equal to a square is ok (e.g. 3^2+4^2=5^2).
2006-07-05 03:48:16 · answer #2 · answered by The Pokemaniac 3 · 0⤊ 0⤋
9 ^ (2) + 6 ^ (2) = 12 ^ (2) + 1 ^ (2)
2006-07-05 04:07:56 · answer #3 · answered by Vatsal S 2 · 0⤊ 0⤋
yes,infinite examples are possible,
14 ^ (2) +290 ^ (2) =50 ^ (2) +286 ^ (2)
also,
21 ^ (2) +435 ^ (2) =75 ^ (2) +429 ^ (2).....................and so on...........
2006-07-05 04:22:12 · answer #4 · answered by ketky s 2 · 0⤊ 0⤋
not a generalized formula..you may find examples as wht u hv mentioned
2006-07-05 03:50:15 · answer #5 · answered by plzselectanotherone 2 · 0⤊ 0⤋
In general i would say no! Can YOu?
2006-07-05 03:46:34 · answer #6 · answered by ikaw 3 · 0⤊ 0⤋
no
2006-07-05 03:44:08 · answer #7 · answered by Anonymous · 0⤊ 0⤋