Choose the One Alternative That Best Completes the Statement or Answers

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
Solve the equation
- $\sqrt{p^{2}-5 p+9}=p-2$

A) $\{3\}$

B) $\left\{-\frac{5}{2}\right\}$

C) $\{-5\}$

D) $\{5\}$