SOLUTION: the sum of a number and its reciprocal is 10/3 what is the number?

Question 48155: the sum of a number and its reciprocal is 10/3 what is the number?
Found 2 solutions by cowess, Earlsdon:
Answer by cowess(34) (Show Source): You can put this solution on YOUR website!
say the number is x

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let n be the required number.
Simplift this.
Multiply both sides by n.
Multiply both sides by 3.
Subtract 10n from both sides.
Solve this quadratic equation by factoring.
Apply the zero products principle.
and/or
If then and
If then
The answer is there are two numbers that meet the given criteria:
and
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