Question

[dam thuy han]

giup minh voi nhaminh dang can gap

(3n+2)⁴=( 3n+2)⁶

Answer 1

[dam thuy han]

giu minh voi nhe cac ban

Answer 2

[Nguyễn Thanh Hằng]

Ta có :

\(\left(3n+2\right)^4=\left(3n+2\right)^6\)

\(\Leftrightarrow\left(3n+2\right)^6-\left(3n+2\right)^4=0\)

\(\Leftrightarrow\left[\left(3n+2\right)^2-1\right]-\left(3n+4\right)^4=0\)

\(\Leftrightarrow\left\{{}\begin{matrix}\left[\left(3n+2\right)^2-1\right]=0\\\left(3n+2\right)^4=0\end{matrix}\right.\)

+)\(\left(3n+2\right)^4=0\)

\(\Leftrightarrow n=\dfrac{2}{3}\)\(\left(tm\right)\)

+) \(\left[\left(3n+2\right)^2-1\right]=0\)

\(\Leftrightarrow\left\{{}\begin{matrix}3n+2=1\\3n+2=-1\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}n=\dfrac{-1}{3}\\n=-1\end{matrix}\right.\)\(\left(tm\right)\)

Vậy ....................