If $2 x^{2}=9 x-4$ and $x \neq 4$, then the value of $2 x$ is
(A) 4
(B) 1
(C) -1
(D) 0
(E) 2

## Part B: Each correct answer is worth 6.
Since $2 x^{2}=9 x-4$, then $2 x^{2}-9 x+4=0$.

Factoring, we obtain $(2 x-1)(x-4)=0$.

Thus, $2 x=1$ or $x=4$.

Since $x \neq 4$, then $2 x=1$.

ANSWER: (B)