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169+2x169+3x169+...+49x169= k²

x= inmultire


Răspuns :

169 · ( 1 +2 + 3 +······+ 49 ) = 169  · ( 1 + 49 ) · 49 /2 = 169 · 50 · 49 /2 =
= 169 · 25 · 49 = 13² · 5² ·7² = ( 13 · 5 · 7 ) ²  = k² 
k = 13 · 5 · 7 = 455