Question: x² = 25
x² = −25
x² + 5 = 0
x² − 5 = 0
x² = −20
x² = 20
x − 5 = 0
x + 5 = 0
1. We are given a list of equations involving $x$ and need to solve the first one: $$x^2 = 25$$
2. The formula to solve equations of the form $$x^2 = a$$ is $$x = \pm \sqrt{a}$$, where $a$ is a real number.
3. Applying this formula to $$x^2 = 25$$:
$$x = \pm \sqrt{25}$$
4. Since $$\sqrt{25} = 5$$, the solutions are:
$$x = \pm 5$$
5. This means:
- $$x = 5$$
- $$x = -5$$
6. These are the two real solutions to the equation $$x^2 = 25$$.
Final answer: $$x = 5 \text{ or } x = -5$$