Question

giải phương trình sau:

\(\sqrt{4x^2+4x+1}=\sqrt{x^2+12x+36}\)

Answer 1

\(\Leftrightarrow\left|2x+1\right|=\left|x+6\right|\)

\(\Leftrightarrow\left[{}\begin{matrix}2x+1=x+6\\2x+1=-x-6\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=5\\x=-\dfrac{7}{3}\end{matrix}\right.\)

Answer 2

ĐKXĐ: \(x\in R\)

\(\sqrt{4x^2+4x+1}=\sqrt{x^2+12x+36}\\ \Leftrightarrow\left|2x+1\right|=\left|x+6\right|\\ \Leftrightarrow\left[{}\begin{matrix}2x+1=x+6\\2x+1=-x-6\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=5\\x=-\dfrac{7}{3}\end{matrix}\right.\)