Question

giải hộ mình với ạ.

5^2x+1 ⋅5^x+1 = 5^1

Answer 1

Ta có: \(5^{2x+1}\cdot5^{x+1}=5^1\)

\(\Leftrightarrow\left(2x+1\right)\left(x+1\right)-1=0\)

\(\Leftrightarrow2x^2+3x=0\)

\(\Leftrightarrow x\left(2x+3\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=-\dfrac{3}{2}\end{matrix}\right.\)