The problem is to solve the equation $x^2 = 4$ using the square root property.

AlgebraQuadratic EquationsSquare Root PropertySolving Equations
2025/4/15

1. Problem Description

The problem is to solve the equation x2=4x^2 = 4 using the square root property.

2. Solution Steps

To solve the equation x2=4x^2 = 4 using the square root property, we take the square root of both sides of the equation.
x2=4\sqrt{x^2} = \sqrt{4}
Remember that the square root of a number has two possible values: a positive and a negative value. Therefore, we have:
x=±4x = \pm \sqrt{4}
Since 4=2\sqrt{4} = 2, we get:
x=±2x = \pm 2
So, the solutions are x=2x = 2 and x=2x = -2.

3. Final Answer

-2, 2

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