Solve for x select all solutions

Question

X^2 - 25 = 0

Answer 1

To solve the equation \( x^2 - 25 = 0 \), we can start by adding 25 to both sides:

\[ x^2 = 25 \]

Next, we take the square root of both sides. Remember to consider both the positive and negative roots:

\[ x = \pm 5 \]

Thus, the solutions are:

\[ x = 5 \quad \text{and} \quad x = -5 \]

The complete solution set is \( x = 5 \) and \( x = -5 \).