2025 AMC 12A Problem 9

Let w be the complex number 2 + i, where i = \sqrt{-1}. What real number r has the property that r, w, and w^2 are three collinear points in the complex plane?

\textbf{(A)} \dfrac{3}{4} \qquad \textbf{(B)} 1 \qquad \textbf{(C)} \dfrac{7}{5} \qquad \textbf{(D)} \dfrac{3}{2} \qquad \textbf{(E)} \dfrac{5}{3}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.