# Problem #1438

 1438 A quadratic equation $ax^2 - 2ax + b = 0$ has two real solutions. What is the average of these two solutions? $\mathrm{(A)}\ 1\qquad\mathrm{(B)}\ 2\qquad\mathrm{(C)}\ \frac ba\qquad\mathrm{(D)}\ \frac{2b}a\qquad\mathrm{(E)}\ \sqrt{2b-a}$ This problem is copyrighted by the American Mathematics Competitions.
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