Question: 5 2 - x = \frac{1}{25}
1. **Stating the problem:** Solve the equation $$5^2 - x = \frac{1}{25}$$ for $$x$$.
2. **Recall the formula and rules:** We know $$5^2 = 25$$.
3. **Rewrite the equation:**
$$25 - x = \frac{1}{25}$$
4. **Isolate $$x$$:**
$$-x = \frac{1}{25} - 25$$
5. **Express 25 as a fraction with denominator 25:**
$$-x = \frac{1}{25} - \frac{625}{25}$$
6. **Subtract the fractions:**
$$-x = \frac{1 - 625}{25} = \frac{-624}{25}$$
7. **Multiply both sides by $$-1$$ to solve for $$x$$:**
$$x = -\left(\frac{-624}{25}\right) = \frac{624}{25}$$
**Final answer:**
$$x = \frac{624}{25}$$