a. \(\sqrt{x^2-6x+9}=3\)
\(\Leftrightarrow\sqrt{\left(x-3\right)^2}=3\)
\(\Leftrightarrow x-3=3\)
\(\Leftrightarrow x=6\)
b. \(\sqrt{9x^2}=3-x\)
\(\Leftrightarrow\sqrt{\left(3x\right)^2}=3-x\)
\(\Leftrightarrow3x+x=3\)
\(\Leftrightarrow4x=3\)
\(\Leftrightarrow x=\frac{3}{4}\)
c.\(\sqrt{3-5x}=2\)
\(\Leftrightarrow3-5x=4\)
\(\Leftrightarrow-5x=4-3\)
\(\Leftrightarrow5x=-1\)
\(\Leftrightarrow x=-\frac{1}{5}\)
c.(ghi lại đề)
\(\Leftrightarrow3x-7=121\)
\(\Leftrightarrow3x=121+7\)
\(\Leftrightarrow x=\frac{128}{3}\)
f. \(\sqrt{\frac{2x+7}{x+2}}=1\)
\(\Leftrightarrow\frac{2x+7}{x+2}=1\)
\(\Rightarrow2x+7=x+2\)
\(\Leftrightarrow2x-x=2-7\)
\(\Leftrightarrow x=-5\)