Question

4√y-9=2

Answer 1

\[\large 4\sqrt{y-9}=2\]


\[\large \sqrt{y-9}=\frac{2}{4}\]


\[\large \sqrt{y-9}=\frac{1}{2}\]


\[\large y-9=(\frac{1}{2})^2\]


\[\large y-9=\frac{1}{4}\]


\[\large y=\frac{1}{4}+9\]


\[\large y=\frac{37}{4}\]

Answer 2

Or if it's \[\sqrt[4]{y-9}=2\]


\[\large \sqrt[4]{y-9}=2\]


\[\large y-9=2^4\]


\[\large y-9=16\]


\[\large y=16+9\]


\[\large y=25\]

Answer 3

or
\[4\sqrt{y}=2+9\]
\[\sqrt{y}=11/4\]
\[y=121/16\]