Buna!!Cum se rezolva:(x+1)+(x+2)+...+(x+41)=40x+860

Răspuns :

(x+1)+(x+2)+...+(x+41)=40x+860
x+1+x+2+...+x+41=40x+860
41x+1+.2..41=40x+860
41x+41x42/2=40x+860
41x+41x21=40x+860
41x-40x=860-861
x=-1
[tex]Raspuns:[/tex]
[tex](x+1)+(x+2)...(x+41)=40x+860 [/tex]
[tex]x*41+(1+2+...+41)=40x+860[/tex]
[tex]41x-40x=860-(1+2+...+41)[/tex]
[tex]x=860-861 [/tex]
[tex]x=-1[/tex]