(x)/(sqrt(x))=(y)/(11) x=?

To solve the equation \( \frac{x}{\sqrt{x}} = \frac{y}{11} \) for \( x \), follow these steps:<br /><br />1. **Simplify the left-hand side:**<br /> \[<br /> \frac{x}{\sqrt{x}} = \sqrt{x}<br /> \]<br /> So the equation becomes:<br /> \[<br /> \sqrt{x} = \frac{y}{11}<br /> \]<br /><br />2. **Square both sides to eliminate the square root:**<br /> \[<br /> (\sqrt{x})^2 = \left(\frac{y}{11}\right)^2<br /> \]<br /> This simplifies to:<br /> \[<br /> x = \frac{y^2}{121}<br /> \]<br /><br />Therefore, the solution for \( x \) is:<br />\[<br />x = \frac{y^2}{121}<br />\]