Maths Olympiad Prep

Library / /17 of 860

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. Spacing and $ signs are ignored.

Solution

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

Want a route through all this instead of an archive? The track puts 2,000 problems in a working order, from AMC 10 level to the IMO shortlist.

Source: Omni-MATH, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.