Pregunta
\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
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The solutions are \( s = -\frac{5}{6} \) and \( s = \frac{5}{6} \).
Solución
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 \( \left\{-\frac{5}{6}, \frac{5}{6}\right\} \).
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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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 \(\left\{ -\frac{5}{6}, \frac{5}{6} \right\}\).

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