Răspuns :
1*2+2*3+...+2013*2014=t
[tex] \frac{t}{4t}= \frac{1}{4} [/tex]
=>[tex] x^{2} [/tex]=4
=>x=2
[tex] \frac{t}{4t}= \frac{1}{4} [/tex]
=>[tex] x^{2} [/tex]=4
=>x=2
[tex][ \frac{1*2+2*3+....+2013*2014 }{2*4+4*6+...+4026*4028} = \frac{1*2+2*3+....+2013*2014}{2*(1*2+2*3+....+2013*2014)}= \frac{1}{2} = \frac{1}{x patrat} [/tex]
de unde x patrat e 2
adik este + sau -[tex] \sqrt{2} [/tex]
de unde x patrat e 2
adik este + sau -[tex] \sqrt{2} [/tex]