The equation in the image appears to be:

$x^{\frac{1}{2}} = 5$

This can be interpreted as $x^{\frac{1}{2}}$, which is the same as the square root of $x$, equaling 5. To solve for $x$, we can square both sides of the equation.

$\left(x^{\frac{1}{2}}\right)^2 = 5^2$

This simplifies to:

$x = 25$

Thus, the solution to the equation is $x = 25$.

Would you like further details on the solution process or have any other questions?

Here are some related questions for further exploration:

1. What happens when you take the cube root of a number instead of the square root?
2. How do you solve equations involving higher-order roots, like $x^{\frac{1}{3}}$?
3. How can you verify if the solution to a radical equation is correct?
4. What are the steps to solve equations involving roots and exponents?
5. How do you handle cases where the exponent is a negative fraction?

Tip: Always remember to check for extraneous solutions when solving radical equations by substituting the result back into the original equation.