HMMT February

Algebra Difficulty 4.6 AIME Find the answer

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

Your answer

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

Solution

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

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