https://file.aiquickdraw.com/mathbot/file/1726102099205lq0zys5d.jpg

The equation given in the image is:

\[
x^2 = 16
\]

To solve for \( x \), we can take the square root of both sides of the equation. This yields:

\[
x = \pm \sqrt{16}
\]

Since \( \sqrt{16} = 4 \), the two possible solutions are:

\[
x = \pm 4
\]

Thus, the solutions are:

\[
x = 4 \quad \text{or} \quad x = -4
\]

Would you like more details on how square roots work, or have any other questions?

Here are some related questions to deepen your understanding:

1. What happens when you solve an equation like \( x^2 = 25 \)?
2. How can you check if a number is a solution to a quadratic equation?
3. What is the general solution to \( x^2 = a \) where \( a \) is positive?
4. How would the solution change if the equation was \( x^2 = -16 \)?
5. How can quadratic equations be solved using the quadratic formula?

**Tip**: Always remember that taking the square root of a number gives both a positive and a negative solution!

Learn how to solve the quadratic equation x^2 = 16 step by step by using square roots. This solution involves applying the square root property to find x = ±4. Ideal for students in grades 8-10 studying algebra and quadratic equations.

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