Solve for x

Question

.

x2=2549







(1 point)
Responses

x=±57
x is equal to plus or minus 5 sevenths

x=±12.524.5
x is equal to plus or minus 12 point 5 over 24 point 5

x=12.524.5
x is equal to 12 point 5 over 24 point 5

x=57
x is equal to 5 sevenths

Answer 1

To solve the equation \( x^2 = 2549 \), we take the square root of both sides:

\[ x = \pm \sqrt{2549} \]

Now, we can calculate \( \sqrt{2549} \).

1. First, we can estimate:
   • \( 50^2 = 2500 \)
   • \( 51^2 = 2601 \)

Since \( 2549 \) is between \( 2500 \) and \( 2601 \), it follows that \( \sqrt{2549} \) is between \( 50 \) and \( 51 \).

2. For a more precise calculation, let's evaluate:
   • \( \sqrt{2549} \approx 50.49 \)

Therefore, the solution for \( x \) can be written as:

\[ x \approx \pm 50.49 \]

None of the options given in your response matches this value. However, the closest approximate values are:

Correct Answer: \( x \approx \pm 50.49 \)

If you require help matching options to calculated approximations or specific formats, please clarify the choices.