To solve the equation \( x^2 = 4 \), we can follow these steps:

1. Start with the equation:
   \[
   x^2 = 4
   \]

2. Take the square root of both sides to solve for \( x \). Remember that taking the square root of a number yields both a positive and a negative solution:
   \[
   x = \pm \sqrt{4}
   \]

3. Calculate the square root of 4:
   \[
   x = \pm 2
   \]

Therefore, the solutions are:
\[
x = 2 \quad \text{and} \quad x = -2
\]

Would you like more details or have any questions about this solution?

Here are some related questions to expand on this topic:

1. What are the solutions to the equation \( x^2 = 9 \)?
2. How do you solve the equation \( x^2 = 0 \)?
3. What is the general method for solving equations of the form \( x^2 = a \)?
4. How do we handle square root equations that involve variables, such as \( \sqrt{x} = 3 \)?
5. What are the real-life applications of solving quadratic equations like \( x^2 = 4 \)?

**Tip:** When taking the square root of both sides of an equation, always consider both the positive and negative roots unless otherwise specified.

Learn how to solve the equation x^2 = 4 with a detailed step-by-step solution. Understand the quadratic equation and square root formulas used in solving this problem. Suitable for Grades 7-9.

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