Question

\(\sqrt{x-2011}+\sqrt{4x-8044}\)=3

Answer 1

\(\sqrt{x-2011}+\sqrt{4x-8044}=3\)

\(\Leftrightarrow\sqrt{x-2011}+2\sqrt{x-2011}=3\)

\(\Leftrightarrow3\sqrt{x-2011}=3\Leftrightarrow\sqrt{x-2011}=1\)

\(\Leftrightarrow x-2011=1\Leftrightarrow x=2012\left(tm\right)\)

Vậy pt có nghiệm x = 2012

Answer 2

Giải:

\(\sqrt{x-2011}+\sqrt{4x-8044}=3\)

\(\Leftrightarrow\sqrt{x-2011}+4\sqrt{x-2011}=3\)

\(\Leftrightarrow\left(\sqrt{x-2011}\right)\left(1+4\right)=3\)

\(\Leftrightarrow5\sqrt{x-2011}=3\)

\(\Leftrightarrow\sqrt{x-2011}=\dfrac{3}{5}\)

\(\Leftrightarrow\left(\sqrt{x-2011}\right)^2=\left(\dfrac{3}{5}\right)^2\)

\(\Leftrightarrow x-2011=\dfrac{9}{25}\)

\(\Leftrightarrow x=\dfrac{50284}{25}=2011,36\)

Vậy ...

P/s: Chắc sai từ dòng đầu tiên :)