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A Calculator

Differently from the others, a calculator has a button with the # symbol. When pressed the number $$x$$ on the display becomes $$\frac { 2x-3 }{ x-2 }$$.

A) Ann putted the number 4 in the display , and pressed the # key. What is the number that appeared?

B) Ann putted a number in the display and pressed the # key, and the same number reappears. What are the possible numbers that she can have putted in the display.

Note by Victor Paes Plinio
3 years, 3 months ago

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2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
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\sum_{i=1}^3 $$\sum_{i=1}^3$$
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\boxed{123} $$\boxed{123}$$