We are given the equation:

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

To solve for \(y + \frac{1}{y}\), let's first find \(y\).

### Step 1: Simplify the equation

Start by rewriting the left-hand side:

\[
\frac{\sqrt{y} - 1}{\sqrt{y}} = \frac{\sqrt{y}}{\sqrt{y}} - \frac{1}{\sqrt{y}} = 1 - \frac{1}{\sqrt{y}}
\]

Now, the equation becomes:

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

### Step 2: Solve for \(\sqrt{y}\)

Subtract 1 from both

The query submitted by the user:(sqrty)-1/sqrty=2 y+1/y=?

Learn how to solve the radical equation (√y - 1)/√y = 2 and find y + 1/y. This solution involves simplifying radical expressions and solving for y, suitable for high school students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation