2003 Fermat Problem 20

If a, b and c are positive, consecutive terms of a geometric sequence (that is, \frac{c}{b}=\frac{b}{a}), then the graph of y = ax^2 + bx + c is

\textbf{(A)} a curve that intersects the x-axis at two distinct points \textbf{(B)} entirely below the x-axis \textbf{(C)} entirely above the x-axis \textbf{(D)} a straight line \textbf{(E)}\ tangent\ \text{to}\ the x-axis

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Full credit to this problem is given to the CEMC, you may view all Fermat contests here.