Chapter 12.1, Problem 8OE

To determine

To solve: The equation $y^2=\frac{1}{121}$ .

Answer to Problem 8OE

The solution set is $\left(\frac{1}{11},-\frac{1}{11}\right)$ .

Explanation of Solution

Given information:

The given expression $y^2=\frac{1}{121}$ .

Calculation:

  $\begin{array}{l}\Rightarrow y^2=\frac{1}{121}\\ \Rightarrow y=\pm \sqrt{\frac{1}{121}}\\ \Rightarrow y=\pm \frac{1}{11}\end{array}$

Therefore, the solution set is $\left(\frac{1}{11},-\frac{1}{11}\right)$