Tagged with sum of squares …

#math trivia #178 solution

#math trivia for #June26: #178 is the sum of two squares. What are they? — Burt Kaliski Jr. (@modulomathy) June 26, 2012 The two squares are 169 and 9. (This was an easy one … We know that one of the squares must be 100 or more — both squares can’t be 81 or less … Continue reading →

#math trivia #245 solution

#math trivia for #September2: #245 can be expressed as a^2+b^2+c^2 for positive integers a, b, c in three ways. What are they? — Burt Kaliski Jr. (@modulomathy) September 3, 2013 The three ways are 12+102+122 22+42+152 82+92+102 The third way is an interesting one because the integers are consecutive. If we let x denote the … Continue reading →

#math trivia #158 solution

#math trivia for #June6: #158 is the sum of which three squares?  (There can be more than one answer.) — Burt Kaliski Jr. (@modulomathy) June 7, 2012 Answer:  158 can be expressed as the sum of three squares two ways: 158 = 100 + 49 + 9 158 = 121 + 36 + 1