Question
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
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x = 28 \)
Solution
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 \( x = 28 \).
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution 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!
