To create an equation that has the solution set {5}, you can use the following simple algebraic equation:
\[ x - 5 = 0 \]
This equation simplifies to:
\[ x = 5 \]
The solution set for this equation is indeed {5}.
Alternatively, you could use any equivalent forms, such as:
\[ (x - 5)^2 = 0 \]
This also has the solution set {5}.
If you need more complex equations or forms, additional examples could include:
- \(2x - 10 = 0\) (which simplifies to \(x = 5\))
- \(x^2 - 10x + 25 = 0\) (this factors to \((x - 5)^2 = 0\))
All of these equations have the solution set {5}.