Pregunta
Solve. \( \sqrt{7 x}=14 \) Select the correct choice below and, if necessary, fill in the ans
Ask by Lindsey Frazier. in the United States
Mar 14,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( x = 28 \)
Solución
1. Square both sides of the equation:
\[
(\sqrt{7x})^2 = 14^2
\]
2. Simplify the equation:
\[
7x = 196
\]
3. Solve for \( x \) by dividing both sides by 7:
\[
x = \frac{196}{7} = 28
\]
The correct choice is \( x = 28 \).
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Beyond the Answer
To solve the equation \( \sqrt{7x} = 14 \), first square both sides to eliminate the square root. This gives us: \( 7x = 196 \) Next, divide both sides by 7: \( x = \frac{196}{7} = 28 \) So, the solution is \( x = 28 \). For further verification, let's plug the value back into the original equation: \( \sqrt{7 \cdot 28} = \sqrt{196} = 14 \), which holds true. Thus, \( x = 28 \) is the correct answer!

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