CEMC Fermat, 2010

Algebra Difficulty 2.0 Junior Find the answer Canada

If $2x^2 = 9x - 4$ and $x \neq 4$ , then the value of $2x$ is

(A) $4$ (B) $1$ (C) $-1$ (D) $0$ (E) $2$

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.

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.