Question

giai giup nhe

(5.x+2)+(5.x+4)+(5.x+6)+...+(5.x+200)=90100

Answer 1

\(\left(5x+2\right)+\left(5x+4\right)+\left(5x+6\right)+...+\left(5x+200\right)=90100.\)

\(\Leftrightarrow5x+2+5x+4+5x+6+...+5x+200=90100\)

\(\Leftrightarrow\left(5x+5x+...+5x\right)+\left(2+4+6+...+200\right)=90100\)

\(\text{Số các số hạng là: }\frac{\left(200-2\right)}{2}+1=100\left(\text{số}\right)\text{ *Chú ý chỗ nãy nếu lớp 7-8 rồi thì ko cần }\)

\(\Leftrightarrow5x.100+\frac{\left(200+2\right).100}{2}=90100\)

\(\Leftrightarrow500x+10100=90100\)

\(\Leftrightarrow x=\frac{90100-10100}{500}\)

\(\text{Vậy }x=160\)