Track / Stage 4 / 202 of 340 #462 of 2000

Problem 462

AMC 12 late, AIME early

Algebra Difficulty 4.8 Find the answer

1. Given the quadratic equation in $x$ , $x^{2}-(2 m+1) x$ $+m+2=0$ has two integer solutions, find the value of $m$ and the two integer solutions of the equation.

Your answer

Official solution

1. Answer: $m=2$ , solutions 1, 4; $m=-2$ , solutions -3, 0. Hint: Use the relationship between roots and coefficients, then eliminate $m$ .

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