What could be the value of x in the following equation? Select all that apply. x^2 = 1/9 Multi-select Choices: (A)-sqrt 1/9 (B)-1/3 (C)1/3 (D)sqrt 1/9

Identify Equation: Identify the equation to solve: x^2 = 1/9. Solve for x: Solve for x by taking the square root of both sides: x = ±sqrt(1/9). Simplify x: Simplify sqrt(1/9) to 1/3. So, x = ±1/3. Check Values: Check the possible values of x against the choices: (A) -sqrt(1/9) = -1/3, which is correct. (B) -1/3, which is correct. (C) 1/3, which is correct. (D) sqrt(1/9) = 1/3, which is correct.

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What could be the value of $x$ in the following equation? Select all that apply. $\newline$ $x^2 = \frac{1}{9}$ $\newline$ Multi-select Choices: $\newline$ (A) $-\sqrt{\frac{1}{9}}$ $\newline$ (B) $-\frac{1}{3}$ $\newline$ (C) $\frac{1}{3}$ $\newline$ (D) $\sqrt{\frac{1}{9}}$

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Algebra 1

Domain and range of square root functions: equations

Full solution

Q. What could be the value of

x

in the following equation? Select all that apply.

\newline

x^2 = \frac{1}{9}

\newline

Multi-select Choices:

\newline

(A)

-\sqrt{\frac{1}{9}}

\newline

(B)

-\frac{1}{3}

\newline

(C)

\frac{1}{3}

\newline

(D)

\sqrt{\frac{1}{9}}

Identify Equation: Identify the equation to solve: $x^2 = \frac{1}{9}$ .
Solve for x: Solve for x by taking the square root of both sides: $x = \pm\sqrt{\frac{1}{9}}$ .
Simplify $x$ : Simplify $\sqrt{\frac{1}{9}}$ to $\frac{1}{3}$ . So, $x = \pm\frac{1}{3}$ .
Check Values: Check the possible values of $x$ against the choices: $\newline$ (A) $-\sqrt{\frac{1}{9}} = -\frac{1}{3}$ , which is correct. $\newline$ (B) $-\frac{1}{3}$ , which is correct. $\newline$ (C) $\frac{1}{3}$ , which is correct. $\newline$ (D) $\sqrt{\frac{1}{9}} = \frac{1}{3}$ , which is correct.