5^x + 5^x + 1 = 150
=> 5^x . ( 1 + 5 ) = 150
=> 5^x . 6 = 150
=> 5^X = 150 : 6
=> 5^x = 25
=> 5^x = 5^2
=> x = 2
\(5^x+5^{x+1}=150\)
\(\Rightarrow5^x+5^x.5=150\)
\(\Rightarrow5^x\left(5+1\right)=150\)
\(\Rightarrow5^x=150:6\)
\(\Rightarrow5^x=25\)
\(\Rightarrow\orbr{\begin{cases}x=2\\x=-2\end{cases}}\)
biết 12+22+32+...+142+152=1240
Tính A=12+32+62+92+...+422+452