Library / /387 of 472

, 2000

Algebra Difficulty 3.0 AMC 10/12 Find the answer Canada

For the system of equations $x^2 + x^2y^2 + x^2y^4 = 525$ and $x + xy + xy^2 = 35$ , the sum of the real $y$ values that satisfy the equations is

(A) $20$ (B) $2$ (C) $5$ (D) $\frac{55}{2}$ (E) $52$

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.