Question

Aflați x din :
1+2+3+...+2004. 2x
-------------------------=-------
2+4+6+...+2004. x

-----este linia de fractie

Answer 1

1+2+3+...+2004=2004*2005:2
2+4+6+...+2004=2(1+2+3+...1002)=2*1002*1003:2


$\frac{1+2+3+...+2004}{2+4+6+...+2004} = \frac{2x}{x}$
$\frac{2004*2005:2}{2*1002*1003:2} = [tex] \frac{2x}{x}$
$\frac{2005}{1003} =2$
fals