Question

1+2+3+.....+2004 supra 2+4+6+.....+2004 este egal cu 2x-1 supra x.Cât este x?

Answer 1

(1+2+3+.....+2004) / (2+4+6+.....+2004) = (2x - 1) / x

2004·2005:2 / 2·1002·1003:2 = (2x - 1) / x

1002·2005 / 1002·1003 = (2x - 1) / x

2005 / 1003 = (2x - 1) / x

2005x = 2006x - 1003

x = 1003