Art of Problem Solving

1955 AHSME Problems/Problem 4: Difference between revisions

Awesomechoco (talk | contribs)
Awesomechoco (talk | contribs)
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==Solution==
==Solution==


From this equality, we get  <math>{(x-1)}*2=</math>{x-2}*1
From this equality, we get  <math>{(x-1)}*2={(x-2)}*1</math>

Revision as of 22:49, 6 July 2018

Problem

The equality $\frac{1}{x-1}=\frac{2}{x-2}$ is satisfied by:

$\textbf{(A)}\ \text{no real values of }x\qquad\textbf{(B)}\ \text{either }x=1\text{ or }x=2\qquad\textbf{(C)}\ \text{only }x=1\\ \textbf{(D)}\ \text{only }x=2\qquad\textbf{(E)}\ \text{only }x=0$

Solution

From this equality, we get ${(x-1)}*2={(x-2)}*1$