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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 find the solution to the equation [tex]\(\sqrt{x} = 9\)[/tex], we need to determine the value of [tex]\(x\)[/tex] that satisfies this equation.

1. Understand the Equation: The equation [tex]\(\sqrt{x} = 9\)[/tex] tells us that the square root of [tex]\(x\)[/tex] is 9.

2. Eliminate the Square Root: To find [tex]\(x\)[/tex], we'll square both sides of the equation to cancel the square root:
[tex]\[
(\sqrt{x})^2 = 9^2
\][/tex]
This simplifies to:
[tex]\[
x = 81
\][/tex]

3. Checking the Options: We need to identify which among the given options match this solution:
- A. 0
- B. -3
- C. 81
- D. 3
- E. -81
- F. None

4. Compare Solution with Options: From our calculation, we found that [tex]\(x = 81\)[/tex].

5. Select the Correct Option: The correct solution is option C, which is 81.

So, the solution to the equation [tex]\(\sqrt{x} = 9\)[/tex] is [tex]\(x = 81\)[/tex], and the checked option is:

- C. 81

No other option matches the solution, so only option C is checked.

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