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x=8(1+2+3+...+49)+1225

Răspuns :

[49•(49+1)]:2=1225 8•1225+1225=9800+1225=11025
[tex]\displaystyle 8(1+2+3+...+49)+1225=8 \cdot \frac{49(49+1)}{2} +1225= \\ \\ =8 \cdot \frac{49 \cdot 50}{2} +1225=8 \cdot \frac{2450}{2} +1225=8 \cdot 1225+1225= \\ \\ =9800+1225=11025=105^2-p.p [/tex]