SOLUTION: When 3 is divided by the sum of 8 and a certain number, the result is equal to the reciprocal of the number, find the number

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Question 1015029: When 3 is divided by the sum of 8 and a certain number, the result is equal to the reciprocal of the number, find the number
Answer by ikleyn(52781) About Me  (Show Source):
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When 3 is divided by the sum of 8 and a certain number, the result is equal to the reciprocal of the number, find the number
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An equation which describes this situation is

3%2F%28x%2B8%29 = 1%2Fx.

Can you solve it?

The first step is to multiply both sides by x*(x+8) to get off the denominators.