College

We appreciate your visit to Check all solutions to the equation If there are no solutions check None tex sqrt x 9 tex A 0 B 3 C 81 D. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Check all solutions to the equation. If there are no solutions, check "None."

[tex]\sqrt{x} = 9[/tex]

A. 0
B. -3
C. 81
D. 3
E. -81
F. None

Answer :

To solve the equation [tex]\(\sqrt{x} = 9\)[/tex], we'll start by finding the value of [tex]\(x\)[/tex].

Step 1: Eliminate the square root by squaring both sides of the equation:

[tex]\[
(\sqrt{x})^2 = 9^2
\][/tex]

Step 2: Since squaring a square root cancels it out, you're left with:

[tex]\[
x = 9^2
\][/tex]

Step 3: Calculate [tex]\(9^2\)[/tex]:

[tex]\[
9^2 = 81
\][/tex]

Thus, [tex]\(x = 81\)[/tex].

Now, let's check each option to see which one matches our solution:

- Option A: 0
0 is not equal to 81

- Option B: -3
-3 is not equal to 81

- Option C: 81
81 matches our solution

- Option D: 3
3 is not equal to 81

- Option E: -81
-81 is not equal to 81

- Option F: None
Since we found a solution (81), this option is not correct.

Therefore, the correct solution is option C: 81.

Thanks for taking the time to read Check all solutions to the equation If there are no solutions check None tex sqrt x 9 tex A 0 B 3 C 81 D. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada