Maths Olympiad Prep

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Algebra Difficulty 4.6 AIME Find the answer

Find all the values of mm for which the zeros of 2x2mx82 x^{2}-m x-8 differ by m1m-1.

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

Solution

6,103.6,-\frac{10}{3}.

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