Find all real solutions

To solve the equation , we first note that the square root function is defined only for values where . This means that must be greater than or equal to 5.

Next, we square both sides of the equation to eliminate the square root:

Expanding the right-hand side gives:

Rearranging the equation to set it to zero, we have:

Now, we can factor or use the quadratic formula. The equation factors as:

Setting each factor to zero gives us the potential solutions:

Lastly, we need to check these solutions in the original equation to ensure they are valid.

For :

For :

Thus, the only real solution to the equation is .