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Aflati abcd?

8+16+24+32+,,,,+abcd=abcd00


Răspuns :

8*(1+2+3+.....+abcd/8)=abcd*100
8*((1+abcd/8)*(abcd/8/2)=abcd*100
notam abcd=x
8*(((8+x)/8*)*(x/16))=100x
8*((8+x)*x/128)=100x
(8+x)*x/16=100x
8x+x*x=1600x
x*x-1592x=0
x(x-1592)=0
x=1592 (adica abcd=1592)
cazul cand x=0 cade
sper ca nu am gresit la calcule