Maths Olympiad Prep

Track / Stage 4 / 170 of 340 #430 of 1964

Problem 430

AMC 12 late, AIME early
Algebra Difficulty 4.8 Find the answer

9. For the quadratic equation in xx, x2+(m+1)x+2mx^{2}+(m+1) x+2 m =0=0, if it has two integer roots, then m=m= \qquad , and the roots of the equation are \qquad .

A number or a short expression. Spacing, $ signs and \frac vs / are all fine.

Official solution

 9. 0 and 60,1,3,4\begin{array}{l}\text { 9. 0 and } 6 \text {, } \\ 0,-1,-3,-4 \text {. }\end{array}

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