Questions: Solve using the square root property. x^2-121=0 x= (Simplify your answer. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)

Solve using the square root property.
x^2-121=0
x=
(Simplify your answer. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)

Transcript text: Solve using the square root property. \[ x^{2}-121=0 \] \[ x= \] (Simplify your answer. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)

Solution

Solution Steps

Step 1: Isolate the squared term

Add 121 to both sides of the equation to isolate the squared term: \[ x^{2} - 121 + 121 = 0 + 121 \] \[ x^{2} = 121 \]

Step 2: Apply the square root property

Take the square root of both sides to solve for \( x \): \[ x = \pm \sqrt{121} \]

Step 3: Simplify the square root

Simplify the square root of 121: \[ x = \pm 11 \]

The solutions are \( x = 11 \) and \( x = -11 \).

Final Answer

\(\boxed{11, -11}\)

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