Question

Giúp em với, em cảm ơn

Answer 1

Bài 2:

a) ĐKXĐ: \(x\ge1\)

\(pt\Leftrightarrow x^2-4x+5=x^2-2x+1\)

\(\Leftrightarrow2x=4\Leftrightarrow x=2\left(tm\right)\)

b) ĐKXĐ: \(x\le\dfrac{16}{5}\)

\(pt\Leftrightarrow-5x+16=24\Leftrightarrow5x=-8\Leftrightarrow x=-\dfrac{8}{5}\left(tm\right)\)

c) ĐKXĐ: \(x\ge0\)

\(pt\Leftrightarrow5x=2+x\Leftrightarrow4x=2\Leftrightarrow x=\dfrac{1}{2}\left(tm\right)\)

d) \(pt\Leftrightarrow\sqrt{\left(x-2\right)^2}=8\)

\(\Leftrightarrow\left|x-2\right|=8\)

\(\Leftrightarrow\left[{}\begin{matrix}x-2=8\\x-2=-8\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=10\\x=-6\end{matrix}\right.\)