Question

Tìm x biết: ( x + 2/5)^5=(x+2/5)^3 Mn giúp mình với

Answer 1

\(\left(x+\frac{2}{5}\right)^5=\left(x+\frac{2}{5}\right)^3\)

\(\Leftrightarrow\left(x+\frac{2}{5}\right)^3\left[\left(x+\frac{2}{5}\right)^2-1\right]=0\)

\(\Leftrightarrow\orbr{\begin{cases}x+\frac{2}{5}=0\\x+\frac{2}{5}=\pm1\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=0\\x=-\frac{7}{5};x=-\frac{3}{5}\end{cases}}\)