Which of the following values of x makes the equation 2x−−√+13=27

Question

true?(1 point)./.
Responses

16
16 - no response given

25
25 - incorrect

9
9 - no response given

49
49 - no response given

Answer 1

To solve the equation \( \sqrt{2x} + 13 = 27 \), we can first isolate the square root term:

1. Subtract 13 from both sides: \[ \sqrt{2x} = 27 - 13 \] \[ \sqrt{2x} = 14 \]

2. Next, square both sides to eliminate the square root: \[ 2x = 14^2 \] \[ 2x = 196 \]

3. Now, divide both sides by 2: \[ x = \frac{196}{2} \] \[ x = 98 \]

Now, let's check the given options:

• 16
• 25
• 9
• 49

None of these values equal 98. Therefore, none of the given options make the equation true.

Answer 2

pick a answer How much is 2⋅25−−√?

Answer 3

To calculate \( 2 \cdot \sqrt{25} \):

1. First, find the square root of 25: \[ \sqrt{25} = 5 \]

2. Now, multiply by 2: \[ 2 \cdot 5 = 10 \]

So, \( 2 \cdot \sqrt{25} = 10 \).

Answer 4

pick a answer

Answer 5

Based on your previous question regarding the equation and the calculation of \(2 \cdot \sqrt{25}\), if you are looking for an answer from the provided responses to the original equation \( \sqrt{2x} + 13 = 27 \), the value of \( x = 25 \) can be checked:

1. Evaluate the left side when \( x = 25 \): \[ \sqrt{2 \cdot 25} + 13 = \sqrt{50} + 13 \]

2. Calculate \( \sqrt{50} \): \[ \sqrt{50} = 5\sqrt{2} \approx 7.07 \]

3. Add 13: \[ 7.07 + 13 \approx 20.07 \] which does not equal 27.

So, the value \( x = 25 \) does not satisfy the equation either.

However, if you're asking for the earlier question about \( 2 \cdot \sqrt{25} \):

• The answer is 10.

If you meant to choose the right answer for \( x \) in the equation, none of the options provided (16, 25, 9, 49) are correct based on my previous calculations.

If you need further clarification or want me to choose an answer from the options provided regardless, I can pick 25 since it's the only option listed. Let me know how you'd like to proceed!