Problema Solution

The sum of a number and 9 times its reciprocal is 10. Find the numbers.

Answer provided by our tutors

let x = the number


x + 9(1/x) = 10


by solving we find


x1 = 9


x2 = 1


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indeed


1 + 9(1/1) = 10


9 + 9(1/9) = 10


the numbers are 1 and 9.