Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 4.5 AIME Find the answer

4. If $a>0, a^{2}-2 a b+c^{2}=0, b c>a^{2}$ , then the size relationship of the real numbers $a, b, c$ is $\qquad$

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

4. $b>c>a$

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