Olympiad Maths Prep

Track / Stage 4 / 118 of 340 #378 of 2000

Problem 378

AMC 12 late, AIME early
Algebra Difficulty 4.7 Find the answer

27. The equation x2mx=1\left|x^{2}-m x\right|=1 with respect to xx has exactly 3 distinct real roots, m=|m|=

Official solution

answer: 2

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.