The problem asks us to solve the equation $x^2 = 4$ using the square root property. We need to simplify the answer and provide an exact answer, using radicals and $i$ if needed. We are also instructed to use a comma to separate answers if there are multiple solutions.

AlgebraQuadratic EquationsSquare Root PropertySolving Equations
2025/4/20

1. Problem Description

The problem asks us to solve the equation x2=4x^2 = 4 using the square root property. We need to simplify the answer and provide an exact answer, using radicals and ii if needed. We are also instructed to use a comma to separate answers if there are multiple solutions.

2. Solution Steps

To solve the equation x2=4x^2 = 4 using the square root property, we take the square root of both sides:
x2=4\sqrt{x^2} = \sqrt{4}
This gives us:
x=±4x = \pm \sqrt{4}
Since 4=2\sqrt{4} = 2, we have:
x=±2x = \pm 2
Therefore, the solutions are x=2x = 2 and x=2x = -2.

3. Final Answer

2, -2

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