o ecuatie cam grea!!

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george93
Euclid
Posts: 25
Joined: Tue Oct 21, 2008 7:13 pm
Location: Tulcea

o ecuatie cam grea!!

Post by george93 »

aflati x din ecuatia:x-2003 supra 5 +x-1999 supra 9+ x-1995 supra 13+......+ x-1951 supra 57=14.
Appearances can be deceiving!
thekrisser
Arhimede
Posts: 9
Joined: Mon Nov 03, 2008 2:36 pm

Post by thekrisser »

Dc x>=2008 =>
x-2003>=5
x-1999>=9
.
.
.
x-1951>=57
=>
(x-2003) / 5 >= 1
(x-1999) / 9 >= 1
.
.
.
(x-1951 )/ 57 >=1
Adunand relatiile obtinem
(x-2003)/5 + (x-1999) / 9 +.... + (x-1951)/51 >=14

Analog dc x<=2008 => Suma <=14
Dc x natural => x=2008
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