The sum of a non-zero number and 9 times its reciprocal is 10. What is the number?
9
Let the number be \(x\). Then \(x+\dfrac{9}{x}=10\).
Multiplying by \(x\): \(x^2-10x+9=0 \Rightarrow (x-1)(x-9)=0\).
So \(x=1\) or \(x=9\). Only 9 appears in the options, hence the answer is 9.
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