How would you solve this SAT problem ? Image attached

Question

3psilon · Answer

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3psilon · Answer

I felt like my way was tedious and there's a faster way to do it.

anonymous · Answer

$$\text{If }x+\frac1x\text{ is an integer, then that requires }x\text{ and }\frac1x\text{ are integers.}\\frac1x\text{is only an integer for }x=\pm1\text{ if }x\text{ need be an integer}.\
\text{Therefore }t\text{ is either...}\
\ \ \ \nabla(1)=1+1=2\
\ \ \ \nabla(-1)=-1-1=-2$$

3psilon · Answer

Wow great explaination @oldrin.bataku ! Thank you!

3psilon · Answer

Sometimes I fail to see logical things like that in the midst of the moment

anonymous · Answer

plz correct me if iam wrong
$$\frac{ x ^{2}+1 }{ x }=t$$
hence if we see the quadratic equation then we would find that the value of t would assume the role of b in the formula$$d=b^{2}-4ac$$
as $$d \ge0$$
so $$b ^{2}\ge4ac$$
as a=1 c=1
so$$b ^{2}\ge4$$
so i feel that -3 could  also  be the answer

anonymous · Answer

That's not a quadratic.

anonymous · Answer

why not

anonymous · Answer

@oldrin.bataku plz illustrate