Question
upstudy study bank question image url

\begin{tabular}{|l|l} Solve. \\ \( 36 s^{2}-25=0 \)\end{tabular} \( \begin{array}{l}\text { The solution set is }\{\square\} . \\ \text { (Use a comma to } \\ \text { separate answers.) }\end{array} \)

Ask by Ramirez Mathis. in the United States
Mar 09,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The solutions are \( s = -\frac{5}{6} \) and \( s = \frac{5}{6} \).

Solution

1. Start with the equation: \[ 36s^2 - 25 = 0 \] 2. Isolate the term with \( s^2 \) by adding 25 to both sides: \[ 36s^2 = 25 \] 3. Divide both sides by 36: \[ s^2 = \frac{25}{36} \] 4. Take the square root of both sides, remembering to consider both the positive and negative roots: \[ s = \pm \sqrt{\frac{25}{36}} = \pm \frac{5}{6} \] The solution set is \( \left\{-\frac{5}{6}, \frac{5}{6}\right\} \).

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Mind Expander

To solve the equation \( 36s^{2} - 25 = 0 \), we can start by adding 25 to both sides, giving us \( 36s^{2} = 25 \). Next, we divide both sides by 36 to isolate \( s^{2} \): \[ s^{2} = \frac{25}{36} \] Now, we take the square root of both sides. Remember, when you take the square root, you consider both the positive and negative roots: \[ s = \pm \frac{5}{6} \] Thus, the solution set is \(\left\{ -\frac{5}{6}, \frac{5}{6} \right\}\).

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy