(2n-1)2 = 121
=> 2n-1 = 11
2n = 11+1
2n = 12
n = 12:2
n = 6
\(\left(2n-1\right)^2=121\)
\(\Leftrightarrow\left(2n-1\right)^2=\orbr{\begin{cases}11^2\\\left(-11\right)^2\end{cases}}\)
Do \(n\in N\)\(\Rightarrow\)\(\left(2n-1\right)^2=11^2\)
\(\Leftrightarrow2n-1=11\)
\(\Leftrightarrow2n=12\)
\(\Leftrightarrow n=6\)
(2n-1)^2=121
=>(2n-1)^2=11^2
=>2n-1=11
2n=12
n=6
Vậy n=6