Question

Giải pt sau: \(\sqrt{2x-1}=\sqrt{2}-1\)

Answer 1

\(\sqrt{2x-1}=\sqrt{2}-1\)

\(\rightarrow2x-1=\left(\sqrt{2}-1\right)^2\)

\(\rightarrow2x-1=3-2\sqrt{2}\)

\(\rightarrow2x=4-2\sqrt{2}\)

\(\Rightarrow x=2-\sqrt{2}\)

Nhớ tick

Answer 2

\(x=2-\sqrt{2}\)

Answer 3

\(\sqrt{2x-1}=\sqrt{2}-1\)

\(\Leftrightarrow2x-1=\left(\sqrt{2}-1\right)^2\)

\(\Leftrightarrow2x-1=2-2\sqrt{2}+1\)

\(\Leftrightarrow2x=4-2\sqrt{2}\)

\(\Leftrightarrow2x=2\left(2-2\sqrt{2}\right)\)

\(\Leftrightarrow x=2-\sqrt{2}\)