Olympiad Maths Prep

Track / Stage 4 / 219 of 340 #479 of 2000

Problem 479

AMC 12 late, AIME early
Algebra Difficulty 4.9 Find the answer

3. The quadratic expression in xx and yy, x2+7xy+my25x+43yx^{2}+7 x y+m y^{2}-5 x+43 y -24, can be factored into the product of two linear factors. Then the value of mm is

Official solution

3. -18

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