Question

If a number is decreased by its reciprocal, the result is 11/30. Find the number.

Answer 1

(x) - (1/x) = 11/30
Find a common denominator, 30x. Once you do, you can ignore what's in the denominator and solve the numerator.
30x^2 - 30 = 11x
30x^2 - 11x - 30 = 0
30x^2 - 36x + 25x - 30 = 0
6x(5x - 6) + 5(5x - 6) = 0
(6x + 5)(5x - 6) = 0
x = 6/5 and -5/6
There are two solutions.

Answer 2

Thank you! :)

Answer 3

You're welcome :)